#pragma GCC target("avx2") #pragma GCC optimize("O3") #pragma GCC optimize("unroll-loops") #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; using namespace atcoder; typedef long long ll; #define rep(i, n) for (int i = 0; i < (int)(n); i++) #define repr(i, n) for (int i = (int)(n) - 1; i >= 0; i--) #define repk(i, k, n) for (int i = k; i < (int)(n); i++) #define all(v) v.begin(), v.end() #define mod1 1000000007 #define mod2 998244353 #define mod3 100000007 #define vi vector #define vs vector #define vc vector #define vl vector #define vb vector #define vvi vector> #define vvc vector> #define vvl vector> #define vvb vector> #define vvvi vector>> #define vvvl vector>> #define pii pair #define pil pair #define pli pair #define pll pair #define vpii vector> #define vpll vector> #define vvpii vector>> #define vvpll vector>> template void debug(T e) { cerr << e << endl; } template void debug(vector &v) { rep(i, v.size()) { cerr << v[i] << " "; } cerr << endl; } template void debug(vector> &v) { rep(i, v.size()) { rep(j, v[i].size()) { cerr << v[i][j] << " "; } cerr << endl; } } template void debug(vector> &v) { rep(i, v.size()) { cerr << v[i].first << " " << v[i].second << endl; } } template void debug(set &st) { for (auto itr = st.begin(); itr != st.end(); itr++) { cerr << *itr << " "; } cerr << endl; } template void debug(multiset &ms) { for (auto itr = ms.begin(); itr != ms.end(); itr++) { cerr << *itr << " "; } cerr << endl; } template void debug(map &mp) { for (auto itr = mp.begin(); itr != mp.end(); itr++) { cerr << itr->first << " " << itr->second << endl; } } void debug_out() { cerr << endl; } template void debug_out(Head H, Tail... T) { cerr << H << " "; debug_out(T...); } ll my_gcd(ll a, ll b) { ll ret = 0; if (a < b) { swap(a, b); } if (b == 0) { ret = a; } else { ret = my_gcd(b, a % b); } return ret; } int main() { ll T; cin >> T; while (T--) { ll D, x, y; cin >> D >> x >> y; if (x == 0) { cout << y * D << endl; } else if (y == 0) { cout << x * D << endl; } ll g = my_gcd(x, y); // 左上側 ll ok = 0; ll ng = D + 1; while (ng - ok > 1) { ll mid = (ok + ng) / 2; ll nx = x - mid * (y / g); ll ny = y + mid * (x / g); if (nx >= 0 && nx <= D && ny >= 0 && ny <= D) { ok = mid; } else { ng = mid; } } ll ok2 = 0; ll ng2 = D + 1; while (ng2 - ok2 > 1) { ll mid = (ok2 + ng2) / 2; ll nx = x + mid * (y / g); ll ny = y - mid * (x / g); if (nx >= 0 && nx <= D && ny >= 0 && ny <= D) { ok2 = mid; } else { ng2 = mid; } } ll lx = x + max(ok, ok2) * (y / g); ll ly = y - max(ok, ok2) * (x / g); // debug_out(lx, ly); ll ans = abs(x * ly - y * lx); cout << ans << endl; } }