QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#336348 | #8103. Product | ucup-team1209 | AC ✓ | 58ms | 7644kb | C++20 | 1.3kb | 2024-02-24 15:17:09 | 2024-02-24 15:17:10 |
Judging History
answer
#include<bits/stdc++.h>
using std::cin;
using std::cout;
using ll = long long;
using u64 = unsigned long long;
using u32 = unsigned;
using u128 = __uint128_t;
using i128 = __int128_t;
std::vector<int> ps;
const int M = 5e5;
u64 pms[M];
int cc;
ll n;
bool ins(u64 x) {
for(int i = 0;i < cc;++i) {
if((i128) pms[i] * x <= n) {
if(cc == M) {
return 0;
}
pms[cc++] = pms[i] * x;
}
}
return 1;
}
int idx;
ll check(ll n) {
for(int i : ps) {
for(;(u64)n % (u32)i == 0;) n /= i;
}
return n == 1;
}
ll ans = 1;
void dfs(ll x, int id) {
ll p = n / x;
if(p * x <= ans) return ;
if(id < idx) {
ll z = std::upper_bound(pms, pms + cc, n / x)[-1];
ans = std::max(ans, z * x);
return ;
}
for(;;) {
dfs(x, id - 1);
if((i128)x * ps[id] > n) {
break;
}
x *= ps[id];
}
}
void guess(ll n) {
for(int i = 0;i < 2e5 && !check(n);--n, ++i);
if(check(n)) {
cout << n << '\n';
exit(0);
}
}
int main() {
std::ios::sync_with_stdio(false), cin.tie(0);
int k; cin >> k >> n;
ps.resize(k);
for(int & x : ps) cin >> x;
*pms = 1, cc = 1;
sort(ps.begin(), ps.end());
for(idx = 0;idx < (int) ps.size();++idx) {
if(!ins(ps[idx])) break;
}
std::sort(pms, pms + cc);
dfs(1, ps.size() - 1);
cout << ans << '\n';
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 0ms
memory: 3732kb
input:
3 30 2 3 7
output:
28
result:
ok 1 number(s): "28"
Test #2:
score: 0
Accepted
time: 21ms
memory: 6540kb
input:
7 939341491978215167 2 3 19 43 47 53 61
output:
939207819748596228
result:
ok 1 number(s): "939207819748596228"
Test #3:
score: 0
Accepted
time: 33ms
memory: 7516kb
input:
16 997257405471326207 2 3 5 11 19 23 37 41 47 53 59 61 73 79 89 97
output:
997257095125632000
result:
ok 1 number(s): "997257095125632000"
Test #4:
score: 0
Accepted
time: 35ms
memory: 7568kb
input:
21 999404092522162547 2 3 13 17 19 23 29 31 37 41 43 47 59 61 67 71 73 79 83 89 97
output:
999404022916180674
result:
ok 1 number(s): "999404022916180674"
Test #5:
score: 0
Accepted
time: 32ms
memory: 7512kb
input:
6 969452367537798143 2 3 5 7 11 13
output:
969402569554298880
result:
ok 1 number(s): "969402569554298880"
Test #6:
score: 0
Accepted
time: 54ms
memory: 7500kb
input:
25 999949383078942015 2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
output:
999949379900286375
result:
ok 1 number(s): "999949379900286375"
Test #7:
score: 0
Accepted
time: 28ms
memory: 7516kb
input:
16 889438016964538336 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
output:
889426845003977563
result:
ok 1 number(s): "889426845003977563"
Test #8:
score: 0
Accepted
time: 1ms
memory: 3744kb
input:
17 299993 2 3 7 11 17 19 23 31 41 43 47 53 71 73 79 83 97
output:
299943
result:
ok 1 number(s): "299943"
Test #9:
score: 0
Accepted
time: 0ms
memory: 3696kb
input:
2 780879715975993128 23 47
output:
592020020271363743
result:
ok 1 number(s): "592020020271363743"
Test #10:
score: 0
Accepted
time: 33ms
memory: 7520kb
input:
25 1000000000000000000 2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
output:
1000000000000000000
result:
ok 1 number(s): "1000000000000000000"
Test #11:
score: 0
Accepted
time: 0ms
memory: 3668kb
input:
1 1000000000000000000 7
output:
558545864083284007
result:
ok 1 number(s): "558545864083284007"
Test #12:
score: 0
Accepted
time: 0ms
memory: 3624kb
input:
7 999993 3 5 19 23 31 79 83
output:
994635
result:
ok 1 number(s): "994635"
Test #13:
score: 0
Accepted
time: 1ms
memory: 3732kb
input:
15 999993 3 5 7 11 13 17 19 23 29 53 59 67 73 79 89
output:
999845
result:
ok 1 number(s): "999845"
Test #14:
score: 0
Accepted
time: 1ms
memory: 3784kb
input:
20 999993 3 5 7 11 17 23 29 37 41 47 53 59 61 67 71 73 79 83 89 97
output:
999949
result:
ok 1 number(s): "999949"
Test #15:
score: 0
Accepted
time: 0ms
memory: 3672kb
input:
20 10 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
output:
1
result:
ok 1 number(s): "1"
Test #16:
score: 0
Accepted
time: 0ms
memory: 3692kb
input:
1 1 11
output:
1
result:
ok 1 number(s): "1"
Test #17:
score: 0
Accepted
time: 0ms
memory: 3620kb
input:
2 1 3 7
output:
1
result:
ok 1 number(s): "1"
Test #18:
score: 0
Accepted
time: 0ms
memory: 3676kb
input:
1 25 5
output:
25
result:
ok 1 number(s): "25"
Test #19:
score: 0
Accepted
time: 0ms
memory: 3664kb
input:
1 80 3
output:
27
result:
ok 1 number(s): "27"
Test #20:
score: 0
Accepted
time: 30ms
memory: 7592kb
input:
14 9999999999993 3 5 11 17 29 37 41 43 47 53 59 67 71 89
output:
9999988946425
result:
ok 1 number(s): "9999988946425"
Test #21:
score: 0
Accepted
time: 33ms
memory: 7512kb
input:
11 9999999999993 2 3 5 7 11 13 17 19 23 29 31
output:
9999995866575
result:
ok 1 number(s): "9999995866575"
Test #22:
score: 0
Accepted
time: 0ms
memory: 3680kb
input:
7 9999999999993 67 71 73 79 83 89 97
output:
9973374165409
result:
ok 1 number(s): "9973374165409"
Test #23:
score: 0
Accepted
time: 27ms
memory: 6916kb
input:
17 9999999999993 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
output:
9999983345279
result:
ok 1 number(s): "9999983345279"
Test #24:
score: 0
Accepted
time: 32ms
memory: 7520kb
input:
8 10000000000007 2 3 5 7 11 13 17 19
output:
10000000000000
result:
ok 1 number(s): "10000000000000"
Test #25:
score: 0
Accepted
time: 33ms
memory: 7576kb
input:
19 9999999999993 2 3 5 11 13 17 19 23 37 41 43 47 53 59 61 71 73 79 97
output:
9999997667946
result:
ok 1 number(s): "9999997667946"
Test #26:
score: 0
Accepted
time: 28ms
memory: 7592kb
input:
18 9999999999993 2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61
output:
9999998400000
result:
ok 1 number(s): "9999998400000"
Test #27:
score: 0
Accepted
time: 13ms
memory: 6508kb
input:
13 9999999999993 5 19 23 29 31 43 59 61 71 73 79 83 89
output:
9999720278125
result:
ok 1 number(s): "9999720278125"
Test #28:
score: 0
Accepted
time: 31ms
memory: 7596kb
input:
18 9999999999993 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
output:
9999983345279
result:
ok 1 number(s): "9999983345279"
Test #29:
score: 0
Accepted
time: 29ms
memory: 7512kb
input:
18 10000000000007 2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61
output:
10000000000000
result:
ok 1 number(s): "10000000000000"
Test #30:
score: 0
Accepted
time: 32ms
memory: 7512kb
input:
19 99979004294399 2 3 5 7 11 13 19 23 29 37 41 43 47 61 71 73 79 83 97
output:
99978964734375
result:
ok 1 number(s): "99978964734375"
Test #31:
score: 0
Accepted
time: 32ms
memory: 7576kb
input:
17 100012983161519 2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59
output:
100012947714225
result:
ok 1 number(s): "100012947714225"
Test #32:
score: 0
Accepted
time: 1ms
memory: 3640kb
input:
7 80798284478112 67 71 73 79 83 89 97
output:
74134508438681
result:
ok 1 number(s): "74134508438681"
Test #33:
score: 0
Accepted
time: 33ms
memory: 7576kb
input:
19 99168391445350 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
output:
99167116466567
result:
ok 1 number(s): "99167116466567"
Test #34:
score: 0
Accepted
time: 34ms
memory: 7644kb
input:
19 999125202087220 7 11 13 17 19 23 29 37 41 43 47 53 59 61 67 71 73 89 97
output:
999122542031933
result:
ok 1 number(s): "999122542031933"
Test #35:
score: 0
Accepted
time: 32ms
memory: 7520kb
input:
17 999903263508863 2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59
output:
999903016450000
result:
ok 1 number(s): "999903016450000"
Test #36:
score: 0
Accepted
time: 1ms
memory: 3764kb
input:
7 812983475175210 67 71 73 79 83 89 97
output:
809465694096799
result:
ok 1 number(s): "809465694096799"
Test #37:
score: 0
Accepted
time: 30ms
memory: 7568kb
input:
19 993541792230718 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
output:
993535939479217
result:
ok 1 number(s): "993535939479217"
Test #38:
score: 0
Accepted
time: 34ms
memory: 7568kb
input:
19 9996300831103487 2 3 7 11 17 19 23 29 31 37 41 47 53 61 67 79 83 89 97
output:
9996299037850818
result:
ok 1 number(s): "9996299037850818"
Test #39:
score: 0
Accepted
time: 39ms
memory: 7516kb
input:
25 9999702826132809 2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
output:
9999702714170048
result:
ok 1 number(s): "9999702714170048"
Test #40:
score: 0
Accepted
time: 1ms
memory: 3820kb
input:
7 9835185676953190 17 19 37 43 53 73 83
output:
9803452077884603
result:
ok 1 number(s): "9803452077884603"
Test #41:
score: 0
Accepted
time: 1ms
memory: 3724kb
input:
17 499993 3 5 7 17 19 23 29 31 37 41 43 47 61 71 73 83 97
output:
499905
result:
ok 1 number(s): "499905"
Test #42:
score: 0
Accepted
time: 32ms
memory: 7576kb
input:
25 10000000000000000 2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
output:
10000000000000000
result:
ok 1 number(s): "10000000000000000"
Test #43:
score: 0
Accepted
time: 34ms
memory: 7632kb
input:
19 99936024569882500 3 5 7 11 13 19 23 29 37 41 43 47 53 59 67 71 73 79 89
output:
99936003073188975
result:
ok 1 number(s): "99936003073188975"
Test #44:
score: 0
Accepted
time: 36ms
memory: 7516kb
input:
17 99968556160199999 2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59
output:
99968548850411472
result:
ok 1 number(s): "99968548850411472"
Test #45:
score: 0
Accepted
time: 1ms
memory: 3728kb
input:
7 76628348600474422 67 71 73 79 83 89 97
output:
76425966229529167
result:
ok 1 number(s): "76425966229529167"
Test #46:
score: 0
Accepted
time: 29ms
memory: 7516kb
input:
19 99743038863879892 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
output:
99742786671616757
result:
ok 1 number(s): "99742786671616757"
Test #47:
score: 0
Accepted
time: 1ms
memory: 3736kb
input:
17 799993 2 5 11 17 19 23 31 37 41 43 47 53 61 67 71 73 97
output:
799940
result:
ok 1 number(s): "799940"
Test #48:
score: 0
Accepted
time: 31ms
memory: 7516kb
input:
17 100000000000000001 2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59
output:
100000000000000000
result:
ok 1 number(s): "100000000000000000"
Test #49:
score: 0
Accepted
time: 49ms
memory: 7628kb
input:
23 899966922221289471 2 3 5 7 11 13 17 19 23 29 31 37 41 47 53 59 61 67 73 79 83 89 97
output:
899966916734624375
result:
ok 1 number(s): "899966916734624375"
Test #50:
score: 0
Accepted
time: 48ms
memory: 7632kb
input:
22 899957726806359374 2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79
output:
899957721023521875
result:
ok 1 number(s): "899957721023521875"
Test #51:
score: 0
Accepted
time: 0ms
memory: 5948kb
input:
9 697531589899549528 59 61 67 71 73 79 83 89 97
output:
689954619477214319
result:
ok 1 number(s): "689954619477214319"
Test #52:
score: 0
Accepted
time: 35ms
memory: 7512kb
input:
22 899460899653457296 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
output:
899460763184084089
result:
ok 1 number(s): "899460763184084089"
Test #53:
score: 0
Accepted
time: 31ms
memory: 7592kb
input:
17 900000000000000001 2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59
output:
900000000000000000
result:
ok 1 number(s): "900000000000000000"
Test #54:
score: 0
Accepted
time: 4ms
memory: 4152kb
input:
7 766605103129815624 5 13 17 41 47 71 79
output:
766055421142578125
result:
ok 1 number(s): "766055421142578125"
Test #55:
score: 0
Accepted
time: 29ms
memory: 7508kb
input:
16 898093726157755269 2 5 11 13 23 29 37 43 47 53 59 61 67 73 79 97
output:
898093248819554216
result:
ok 1 number(s): "898093248819554216"
Test #56:
score: 0
Accepted
time: 42ms
memory: 7600kb
input:
21 899991869052508159 2 3 5 7 11 17 19 31 37 41 43 47 53 59 61 67 71 73 79 89 97
output:
899991851804777070
result:
ok 1 number(s): "899991851804777070"
Test #57:
score: 0
Accepted
time: 31ms
memory: 7496kb
input:
6 896214613744195199 2 3 5 7 11 13
output:
896168448000000000
result:
ok 1 number(s): "896168448000000000"
Test #58:
score: 0
Accepted
time: 58ms
memory: 7516kb
input:
25 899994612220703999 2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
output:
899994609451736064
result:
ok 1 number(s): "899994609451736064"
Test #59:
score: 0
Accepted
time: 34ms
memory: 7636kb
input:
16 889438016964538336 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
output:
889426845003977563
result:
ok 1 number(s): "889426845003977563"
Test #60:
score: 0
Accepted
time: 31ms
memory: 7580kb
input:
25 900000000000000000 2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
output:
900000000000000000
result:
ok 1 number(s): "900000000000000000"