import std.conv, std.functional, std.range, std.stdio, std.string; import std.algorithm, std.array, std.bigint, std.bitmanip, std.complex, std.container, std.math, std.mathspecial, std.numeric, std.regex, std.typecons; import core.bitop; class EOFException : Throwable { this() { super("EOF"); } } string[] tokens; string readToken() { for (; tokens.empty; ) { if (stdin.eof) { throw new EOFException; } tokens = readln.split; } auto token = tokens.front; tokens.popFront; return token; } int readInt() { return readToken.to!int; } long readLong() { return readToken.to!long; } real readReal() { return readToken.to!real; } bool chmin(T)(ref T t, in T f) { if (t > f) { t = f; return true; } else { return false; } } bool chmax(T)(ref T t, in T f) { if (t < f) { t = f; return true; } else { return false; } } int binarySearch(alias pred, T)(in T[] as) { int lo = -1, hi = cast(int)(as.length); for (; lo + 1 < hi; ) { const mid = (lo + hi) >> 1; (unaryFun!pred(as[mid]) ? hi : lo) = mid; } return hi; } int lowerBound(T)(in T[] as, T val) { return as.binarySearch!(a => (a >= val)); } int upperBound(T)(in T[] as, T val) { return as.binarySearch!(a => (a > val)); } // floor(a / b) Int divFloor(Int)(Int a, Int b) { return a / b - (((a ^ b) < 0 && a % b != 0) ? 1 : 0); } // sum_{x=l}^r floor((a x + b) / m) // m > 0 long sumFloors(long m, long a, long b, long l, long r) in { assert(m > 0, "sumFloors: m > 0 must hold"); } do { long sum; for (; l <= r; ) { const q = divFloor(a, m); const aa = a - q * m; const ll = divFloor(aa * l + b, m) + 1; const rr = divFloor(aa * r + b, m); sum += q * ((r + 1) * r / 2 - l * (l - 1) / 2) + r * rr - (l - 1) * (ll - 1) + (rr - ll + 1); a = m; m = aa; l = -rr; r = -ll; } return sum; } long solve1(long N, long A) { // \sum_{i>=1} (N - A i) const m = N / A; long ans; ans += N * m; ans -= A * (m * (m + 1) / 2); return ans; } long solve2(long N, long A, long B) { // \sum_{i>=1} floor((N - A i) / B) const m = N / A; const ans = sumFloors(B, -A, N, 1, m); return ans; } void main() { try { for (; ; ) { const numCases = readInt; foreach (caseId; 0 .. numCases) { const N = readLong; const A = readLong; const B = readLong; long ans; ans += solve1(N, A); ans += solve1(N, B); ans -= solve2(N, A, B); writeln(ans); } } } catch (EOFException e) { } }