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

long long floor_sum(long long n, long long m, long long a, long long b) {
    long long ans = 0;
    if (a >= m) {
        ans += (n - 1) * n * (a / m) / 2;
        ans = min(ans, 1ll << 60);
        a %= m;
    }
    if (b >= m) {
        ans += n * (b / m);
        ans = min(ans, 1ll << 60);
        b %= m;
    }
    long long y_max = (a * n + b) / m, x_max = (y_max * m - b);
    if (y_max == 0) return ans;
    ans += (n - (x_max + a - 1) / a) * y_max;
    ans = min(ans, 1ll << 60);
    ans += floor_sum(y_max, a, m, (a - x_max % a) % a);
    ans = min(ans, 1ll << 60);
    return ans;
}

int main(){
    int t;
    cin >> t;
    while(t--){
        ll p, q, k, g;
        cin >> p >> q >> k;
        g = __gcd(p, q);
        p /= g, q /= g;
        if(p == 1 || q == 1){
            cout << g * k << '\n';
            continue;
        }
        auto f = [&](ll v){
            ll r = min(q, v / p + 1);
            return floor_sum(r, q, p, v + q - p * (r - 1));
        };
        ll ng = 0, ok = 1ll << 30, mid;
        while(ng + 1 < ok){
            mid = (ng + ok) / 2;
            if(f(mid) <= k)ng = mid;
            else ok = mid;
        }
        cout << g * ok << '\n';
    }
}