use proconio::{fastout, input};

#[fastout]
fn main() {
    input! {
        t: usize,
        dxy: [(usize, usize, usize); t],
    }

    for &(d, x, y) in &dxy {
        println!("{}", solve(d, x, y));
    }
}

fn solve(side_len: usize, x: usize, y: usize) -> usize {
    let d = gcd(x as i64, y as i64) as usize;

    let coef1 = (x * d / y).min((side_len - y) * d / x);
    let coef2 = ((side_len - x) * d / y).min(y * d / x);

    (x.pow(2) + y.pow(2)) / d * coef1.max(coef2)
}

fn gcd(mut a: i64, mut b: i64) -> i64 {
    a = a.abs();
    b = b.abs();
    while b != 0 {
        let r = a % b;
        a = b;
        b = r;
    }
    a
}