#include <bits/stdc++.h>
#define ll long long 
using namespace std;

int read(){
    char ch = 0; int x = 0,f = 1;
    while(ch<'0' || ch>'9'){if(ch=='-')f = -1;ch = getchar();}
    while(ch>='0'&&ch<='9'){x = x*10 + ch-'0';ch = getchar();}
    return x*f;
}

const int N = 1e6+10;
const ll inf = 1e18;

int n, m, K;
int a[N];
ll M[N];


bool check(int mid) {
    ll cost = 0;
    for(int i=1; i<=n/2+1; i++) {
        if(a[i] > mid) {
            int tmp = a[i]/(mid+1)+1;
            cost += M[tmp];
            if(cost > K) return 0;
        }
    }
    return cost <= K;
}

vector<vector<int> > G(N);


void solve() {
    n = read();  
    m = read(); 
    K = read();
    for(int i=1; i<=n; i++) a[i] = read();
    for(int i=1; i<=m; i++) M[i] = read();
    
    M[m+1] = inf;
    for(int i=2; i<=m; i++) {
        for(auto j : G[i]) {
            M[i] = min(M[i], M[j] + M[i/j]);
        }
    }

    for(int i=m-1; i>=1; i--) {
        M[i] = min(M[i], M[i+1]);
    }

    for(int i=2; i<=m; i++) {
        M[m+1] = min(M[m+1], M[i] + M[m/i+1]);
    }
    
    sort(a+1, a+1+n);
    int l = 0, r = a[n/2+1];
    while(l < r) {
        int mid = l + r >> 1;
        if(check(mid)) r = mid;
        else l = mid + 1;
    }
    printf("%d\n", l);
}

signed main() {
    #ifdef LOCAL
        freopen("in.txt", "r", stdin);
        freopen("out.txt", "w", stdout);
    #endif

    for(int i=2; i<=1e6; i++) {
        for(int j=i; (ll)i*j<=1e6; j++) {
            G[i*j].push_back(i);
        }
    }


    int T = 1;
    T = read();
    while(T--)  solve();   
    return 0;
}