QOJ.ac

QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#790056#9531. Weird CeilingJuliano1TL 228ms5048kbC++141.8kb2024-11-28 00:10:372024-11-28 00:10:38

Judging History

你现在查看的是最新测评结果

  • [2024-11-28 00:10:38]
  • 评测
  • 测评结果:TL
  • 用时:228ms
  • 内存:5048kb
  • [2024-11-28 00:10:37]
  • 提交

answer

#include<bits/stdc++.h>
using namespace std;
#define yes cout<<"Yes"<<endl
#define no cout<<"No"<<endl
#define int long long
using pii = pair<int, int>;

const int maxn = 1e6;
bool NotPrime[maxn + 5];
vector<int> Prime;

bool isPrime(int x) {
	if (x < maxn)return (!NotPrime[x]);
	if (x == 1 || x == 0)return 0;
	int R = sqrt(x) + 1;
	for (int i = 2; i <= R; i++) {
		if (x % i == 0)return 0;
	}
	return 1;
}

void ini() {
	NotPrime[0] = 1;
	NotPrime[1] = 1;
	for (int i = 2; i < maxn; i++) {
		if (NotPrime[i])continue;
		Prime.push_back(i);
		for (int j = 2; i * j < maxn; j++) {
			NotPrime[i * j] = 1;
		}
	}
}

// 质因子分解
vector<pii> solve(int x) {
	map<int, int> cnt;
	for (int i = 0; i < Prime.size(); i++) {
		while (x % Prime[i] == 0) {
			cnt[Prime[i]]++;
			x /= Prime[i];
		}
		if (x > maxn && isPrime(x)) { cnt[x]++; break; }
	}
	
	vector<pii> ans;
	for (auto it : cnt) 
		ans.push_back({ it.first,it.second });
	
	return ans;
}

void get_factor(vector<pii> cnt, set<int>& ans, int idx, int val) {
	if (idx == cnt.size())return;
	// 质因数 now 有 sum 个
	int now = cnt[idx].first;
	int sum = cnt[idx].second;

	int pwr = 1;
	for (int i = 0; i <= sum; i++) {
		val *= pwr;
		ans.insert(val);
		get_factor(cnt, ans, idx+1, val);
		val /= pwr;
		pwr *= now;
	}
}

int func(int a, int b,set<int> &st) {
	auto it = st.upper_bound(b); it--;
	return (int)(a / (*it));
}


signed main() {
	ios::sync_with_stdio(0);
	cin.tie(0); cout.tie(0);
	
	ini();
	int t; cin >> t;
	while (t--) {
		int n; cin >> n;
		auto cnt = solve(n);
		set<int> st; st.insert(1);
		get_factor(cnt, st, 0, 1);
		int sum = 1;
		
		int last = *st.begin();
		for (auto it : st) {
			sum += (it - last) * n / last;
			last = it;
		}

		cout << sum << endl;
	}

	return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 5ms
memory: 5048kb

input:

3
5
451
114514

output:

21
10251
7075858

result:

ok 3 lines

Test #2:

score: 0
Accepted
time: 228ms
memory: 5044kb

input:

1000
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101...

output:

1
3
7
9
21
16
43
25
37
36
111
41
157
64
71
65
273
73
343
86
113
144
507
101
201
196
163
134
813
137
931
161
221
324
295
169
1333
400
287
205
1641
218
1807
254
277
576
2163
241
589
301
443
326
2757
298
507
317
533
900
3423
315
3661
1024
439
385
625
386
4423
494
737
437
4971
394
5257
1444
551
590
969
...

result:

ok 1000 lines

Test #3:

score: -100
Time Limit Exceeded

input:

1000
999999001
999999002
999999003
999999004
999999005
999999006
999999007
999999008
999999009
999999010
999999011
999999012
999999013
999999014
999999015
999999016
999999017
999999018
999999019
999999020
999999021
999999022
999999023
999999024
999999025
999999026
999999027
999999028
999999029
99999...

output:

999998001000999001
4675492974858
22093771399719
1039531946480
546491469021
75399989182
37324430219
225494920523
373593911121
479776346214
428075242211
122888183240
72251882365
33004215752
388297141779
54803541045
999998033000967273
1117647749430
2997883122147
28001063474
320813823861
206612366114726...

result: