using System; using static System.Console; using System.Linq; using System.Collections.Generic; class Program { static int NN => int.Parse(ReadLine()); static int[] NList => ReadLine().Split().Select(int.Parse).ToArray(); public static void Main() { Solve(); } static void Solve() { var t = NN; var ans = new long[t]; for (var u = 0; u < t; ++u) { var c = NList; var (n, a, b) = (c[0], c[1], c[2]); var al = FloorSum(n / a + 1, 1, -a, n) - n; var bl = FloorSum(n + 1, b, -1, n) - n / b; var abl = FloorSum(n / a + 1, b, -a, n) - n / b; ans[u] = al + bl - abl; } WriteLine(string.Join("\n", ans)); } /// /// sum(x=[0..n); floor((ax + b)/m)) の値を求める
/// 制約: 0<=n<=10^9, 1<=m<=10^9 ///
static long FloorSum(long _n, long _m, long a, long b) { var (n, m) = ((ulong)_n, (ulong)_m); ulong ans = 0; if (a < 0) { var a2 = (ulong)((a % _m + _m) % _m); ans -= n * (n - 1) / 2 * ((a2 + (ulong)- a) / m); a = (long)a2; } if (b < 0) { var b2 = (ulong)((b % _m + _m) % _m); ans -= n * ((b2 + (ulong)- b) / m); b = (long)b2; } return (long)(ans + FloorSum(n, m, (ulong)a, (ulong)b)); } static ulong FloorSum(ulong n, ulong m, ulong a, ulong b) { ulong ans = 0; while (true) { if (a >= m) { ans += n * (n - 1) / 2 * (a / m); a %= m; } if (b >= m) { ans += n * (b / m); b %= m; } ulong yMax = a * n + b; if (yMax < m) break; n = yMax / m; b = yMax % m; (m, a) = (a, m); } return ans; } }