#include <bits/stdc++.h>
#pragma GCC target("avx2")
#pragma GCC optimize("O3")
#pragma GCC optimize("unroll-loops")
using namespace std;
#define ll long
#define rep(i, m, n) for (ll i = m; i < n; i++)
#define rrep(i, m, n) for (ll i = m - 1; i >= n; i--)
#define pb(n) push_back(n)
#define UE(N) N.erase(unique(N.begin(), N.end()), N.end());
#define Sort(n) sort(n.begin(), n.end())
#define Rev(n) reverse(n.begin(), n.end())
#define HOUT(S) cout << setprecision(50) << S << endl
#define pint pair<ll, ll>
#define tint tuple<ll, ll, ll>
#define endl "\n"
#define mod 1000000007LL
#define MAX 100010LL
#define chmax(a, b) a = (((a) < (b)) ? (b) : (a))
#define chmin(a, b) a = (((a) > (b)) ? (b) : (a))

template <typename T> vector<T> make_v(size_t a) { return vector<T>(a); }

template <typename T, typename... Ts> auto make_v(size_t a, Ts... ts) {
    return vector<decltype(make_v<T>(ts...))>(a, make_v<T>(ts...));
}

template <typename T, typename U, typename... V>
typename enable_if<is_same<T, U>::value != 0>::type fill_v(U& u, const V... v) {
    u = U(v...);
}

template <typename T, typename U, typename... V>
typename enable_if<is_same<T, U>::value == 0>::type fill_v(U& u, const V... v) {
    for (auto& e : u) fill_v<T>(e, v...);
}

ll gcd(ll a, ll b) {
    if(b > a) swap(a, b);
    if(b == 0) return a;
    else return gcd(b, a % b);
}

int main() {
    cin.tie(nullptr);
    ios::sync_with_stdio(false);
    ll t;
    ll d, x, y;
    cin >> t;
    while(t--) {
        cin >> d >> x >> y;
        ll g = gcd(x, y);
        ll u = x / g;
        ll v = y / g;
        ll ans = 0;
        if(x == 0) ans = y * d;
        else if(y == 0) ans = x * d;
        else {
            ll n = min((d - x) / v, y / u);
            ll m = min((d - y) / u, x / v);
            ans = (x * u + y * v) * max(n, m);
        }
        cout << ans << endl;
    }
}