namespace AtCoder;

#nullable enable

using System.Numerics;

static class Extensions
{
    public static T[] Repeat<T>(this int time, Func<T> F) => Enumerable.Range(0, time).Select(_ => F()).ToArray();

}

class AtCoder
{
    object? Solve()
    {
        static int GCD(int x, int y) => y == 0 ? x : GCD(y, x % y);
        var t = Int();
        var ans = new long[t];
        for (var test = 0; test < t; test++)
        {
            var d = Int();
            var x = Int();
            var y = Int();
            if (x < y) (x, y) = (y, x);
            if (y == 0)
            {
                ans[test] = (long)x * d;
                continue;
            }
            var g = GCD(x, y);
            var (u, v) = (x / g, y / g);
            (u, v) = (v, u);
            var tns = 0L;
            long S(int x1, int y1) => Math.Abs((long)x * y1 - (long)y * x1);
            var k1 = Math.Min(x / u, (d - y) / v);
            tns = Math.Max(tns, S(x - k1 * u, y + k1 * v));
            var k2 = Math.Min((d - x) / u, y / v);
            tns = Math.Max(tns, S(x + k2 * u, y - k2 * v));
            ans[test] = tns;
        }
        Out(ans);
        return null;
    }

    public static void Main() => new AtCoder().Run();
    public void Run()
    {
        var res = Solve();
        if (res != null)
        {
            if (res is bool yes) res = yes ? "Yes" : "No";
            sw.WriteLine(res);
        }
        sw.Flush();
    }

    string[] input = Array.Empty<string>();
    int iter = 0;
    readonly StreamWriter sw = new(Console.OpenStandardOutput()) { AutoFlush = false };

    string String()
    {
        while (iter >= input.Length) (input, iter) = (Console.ReadLine()!.Trim().Split(' '), 0);
        return input[iter++];
    }
    T Input<T>() where T : IParsable<T> => T.Parse(String(), null);
    int Int() => Input<int>();
    void Out(object? x, string? separator = null)
    {
        separator ??= Environment.NewLine;
        if (x is System.Collections.IEnumerable obj and not string)
        {
            var firstLine = true;
            foreach (var item in obj)
            {
                if (!firstLine) sw.Write(separator);
                firstLine = false;
                sw.Write(item);
            }
        }
        else sw.Write(x);
        sw.WriteLine();
    }
}