use std::io::Write;

fn run() {
    input! {
        t: usize,
        ask: [(u128, u128, u128); t],
    }
    let out = std::io::stdout();
    let mut out = std::io::BufWriter::new(out.lock());
    for (x, a, b) in ask {
        let ans = solve(x, a, b) % 998244353;
        writeln!(out, "{}", ans).ok();
    }
}

fn solve(x: u128, mut a: u128, mut b: u128) -> u128 {
    let next = |x, a| -> u128 {
        (x + a - 1) / a * a
    };
    if a > b {
        std::mem::swap(&mut a, &mut b);
    }
    let mut ans = 1;
    let mut x = x;
    let lcm = lcm(a, b);
    let finish = next(x, lcm);
    let p = next(x, a);
    let q = next(x, b);
    if (p == x || q <= p) && q > x {
        ans += 1;
        x = q;
    } else if p < q && p > x {
        ans += 1;
        x = p;
        let q = next(x, b);
        if q > x {
            x = q;
            ans += 1;
        }
    }
    ans + (finish - x) / b * 2
}

fn lcm(a: u128, b: u128) -> u128 {
    a * b / binary_gcd(a, b)
}

fn main() {
    run();
}

// ---------- begin input macro ----------
// reference: https://qiita.com/tanakh/items/0ba42c7ca36cd29d0ac8
#[macro_export]
macro_rules! input {
    (source = $s:expr, $($r:tt)*) => {
        let mut iter = $s.split_whitespace();
        input_inner!{iter, $($r)*}
    };
    ($($r:tt)*) => {
        let s = {
            use std::io::Read;
            let mut s = String::new();
            std::io::stdin().read_to_string(&mut s).unwrap();
            s
        };
        let mut iter = s.split_whitespace();
        input_inner!{iter, $($r)*}
    };
}

#[macro_export]
macro_rules! input_inner {
    ($iter:expr) => {};
    ($iter:expr, ) => {};
    ($iter:expr, $var:ident : $t:tt $($r:tt)*) => {
        let $var = read_value!($iter, $t);
        input_inner!{$iter $($r)*}
    };
}

#[macro_export]
macro_rules! read_value {
    ($iter:expr, ( $($t:tt),* )) => {
        ( $(read_value!($iter, $t)),* )
    };
    ($iter:expr, [ $t:tt ; $len:expr ]) => {
        (0..$len).map(|_| read_value!($iter, $t)).collect::<Vec<_>>()
    };
    ($iter:expr, chars) => {
        read_value!($iter, String).chars().collect::<Vec<char>>()
    };
    ($iter:expr, bytes) => {
        read_value!($iter, String).bytes().collect::<Vec<u8>>()
    };
    ($iter:expr, usize1) => {
        read_value!($iter, usize) - 1
    };
    ($iter:expr, $t:ty) => {
        $iter.next().unwrap().parse::<$t>().expect("Parse error")
    };
}
// ---------- end input macro ----------
// ---------- begin binary_gcd ----------
pub fn binary_gcd(a: u128, b: u128) -> u128 {
    if a == 0 || b == 0 {
        return a + b;
    }
    let x = a.trailing_zeros();
    let y = b.trailing_zeros();
    let mut a = a >> x;
    let mut b = b >> y;
    while a != b {
        let x = (a ^ b).trailing_zeros();
        if a < b {
            std::mem::swap(&mut a, &mut b);
        }
        a = (a - b) >> x;
    }
    a << x.min(y)
}
// ---------- end binary_gcd ----------