#define _USE_MATH_DEFINES #include using namespace std; #define FOR(i,m,n) for(int i=(m);i<(n);++i) #define REP(i,n) FOR(i,0,n) #define ALL(v) (v).begin(),(v).end() using ll = long long; constexpr int INF = 0x3f3f3f3f; constexpr long long LINF = 0x3f3f3f3f3f3f3f3fLL; constexpr double EPS = 1e-8; constexpr int MOD = 1000000007; // constexpr int MOD = 998244353; constexpr int DY4[]{1, 0, -1, 0}, DX4[]{0, -1, 0, 1}; constexpr int DY8[]{1, 1, 0, -1, -1, -1, 0, 1}; constexpr int DX8[]{0, -1, -1, -1, 0, 1, 1, 1}; template inline bool chmax(T& a, U b) { return a < b ? (a = b, true) : false; } template inline bool chmin(T& a, U b) { return a > b ? (a = b, true) : false; } struct IOSetup { IOSetup() { std::cin.tie(nullptr); std::ios_base::sync_with_stdio(false); std::cout << fixed << setprecision(20); } } iosetup; long long floor_sum(long long a, long long b, long long m, long long n) { long long res = 0; if (a < 0) { long long nxt_a = a % m; if (nxt_a < 0) nxt_a += m; res -= n * (n - 1) / 2 * ((nxt_a - a) / m); a = nxt_a; } if (b < 0) { long long nxt_b = b % m; if (nxt_b < 0) nxt_b += m; res -= n * ((nxt_b - b) / m); b = nxt_b; } while (true) { if (a >= m) { res += n * (n - 1) / 2 * (a / m); a %= m; } if (b >= m) { res += n * (b / m); b %= m; } const long long y_max = a * n + b; if (y_max < m) break; b = y_max % m; n = y_max / m; std::swap(a, m); } return res; } ll f(ll n, ll a) { const ll ub = n / a; return ub * n - a * ub * (ub + 1) / 2; } void solve() { ll n, a, b; cin >> n >> a >> b; cout << f(n, a) + f(n, b) - floor_sum(-a, n - a, b, n / a) << '\n'; } int main() { int t; cin >> t; while (t--) solve(); return 0; }