#include <bits/stdc++.h>
using namespace std;
using ll = long long;
using P = pair<ll,ll>;
#define fix(x) fixed << setprecision(x)
#define asc(x) x, vector<x>, greater<x>
#define rep(i, n) for(ll i = 0; i < n; ++i)
#define all(x) (x).begin(),(x).end()
template<class T>bool chmin(T&a, const T&b){if(a>b){a=b;return 1;}return 0;}
template<class T>bool chmax(T&a, const T&b){if(a<b){a=b;return 1;}return 0;}
constexpr ll INFLL = (1LL << 62), MOD = 998244353;
constexpr int INF = (1 << 30);

int main(){
    cin.tie(nullptr);
    ios::sync_with_stdio(false);
    int t;
    cin >> t;
    while(t--){
        ll d,x,y,g,a,b,c,p,q,r,s;
        cin >> d >> x >> y;
        if(x*y==0){
            cout << max(x,y)*d << '\n';
            continue;
        }
        g = __gcd(x,y), a = y/g, b = x/g;
        c = min(x/a, (d-y)/b), p = x-a*c, q = y+b*c;
        c = min((d-x)/a, y/b), r = x+a*c, s = y-b*c;
        cout << max(abs(x*(y-q) - y*(x-p)), abs(x*(y-s) - y*(x-r))) << '\n';
    }
    return 0;
}