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;
            ans[u] = Tri(c[0], c[1], c[2]);
        }
        WriteLine(string.Join("\n", ans));
    }
    static long Tri(long d, long x, long y)
    {
        if (x == 0)
        {
            return y * d;
        }
        if (y == 0)
        {
            return x * d;
        }
        var gcd = GCD(x, y);
        var dx = x / gcd;
        var dy = y / gcd;
        var maxa = Math.Min(x / dy, (d - y) / dx);
        var mina = Math.Max((x - d) / dy,  - y / dx);
        return (x * x + y * y) / gcd * Math.Max(Math.Abs(maxa), Math.Abs(mina));
    }
    static long GCD(long a, long b)
    {
        if (a < b) return GCD(b, a);
        if (a % b == 0) return b;
        return GCD(b, a % b);
    }
}