#include <bits/stdc++.h>
#define ll long long
#define int long long

using namespace std;

const int N = 1e6 + 1000;

int a[N], cost[N];
int n, m;
ll k;
int f[N];

bool ck(int mid)
{
    ll sum = 0;
    for (int i = 1; i <= (n + 1) / 2; i++)
    {
        sum += f[(a[i] + 1 + mid) / (mid + 1) ];
    }
    // cout << sum << endl;
    if (sum > k)
        return 0;
    else
        return 1;
}

signed main()
{
    int t;
    cin >> t;
    while (t--)
    {
        cin >> n >> m >> k;
        for (int i = 1; i <= n; i++)
            cin >> a[i];
        for (int i = 1; i <= m; i++)
        {
            cin >> cost[i];
            f[i] = cost[i];
        }
        f[1] = 0, f[m + 1] = 1e18;

        sort(a + 1, a + 1 + n);

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

        for (int i = 1; i <= m; i++)
        {
            int j = 1;
            for (; j * i <= m; j++)
                f[i * j] = min(f[i * j], f[i] + f[j]);
            f[m + 1] = min(f[m + 1], f[i] + f[j]);
        }

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

        int l = 0, r = 1e18;
        while (l < r)
        {
            int mid = (l + r) / 2;
            // cout << mid << endl;
            if (ck(mid))
                r = mid;
            else
                l = mid + 1;
        }
        cout << l << endl;
    }

    return 0;
}