Problem:
Score : 300 points

Problem Statement

Takahashi is organizing a party.

At the party, each guest will receive one or more snack pieces.

Takahashi predicts that the number of guests at this party will be A or B.

Find the minimum number of pieces that can be evenly distributed to the guests in both of the cases predicted.

We assume that a piece cannot be divided and distributed to multiple guests.

Constraints

1 \leq A, B \leq 10^5

A \neq B

All values in input are integers.

Input

Input is given from Standard Input in the following format:

A B

Output

Print the minimum number of pieces that can be evenly distributed to the guests in both of the cases with A guests and B guests.

Sample Input 1

2 3

Sample Output 1

6

When we have six snack pieces, each guest can take three pieces if we have two guests, and each guest can take two if we have three guests.

Sample Input 2

123 456

Sample Output 2

18696

Sample Input 3

100000 99999

Sample Output 3

9999900000

Solution in Rust (1.15.1) (judge verdict: Accepted)

use std::io::{self, BufRead};

fn gcd(x: usize, y: usize) -> usize {
  let (mut a, mut b) = if x < y {
    (y, x)
  } else {
    (x, y)
  };
  while b != 0 {
    let r = a % b;
    a = b;
    b = r;
  }
  a
}

fn lcm_by_gcd(x: usize, y: usize, g: usize) -> usize {
  x * y / g
}

fn main() {
  let stdin = io::stdin();
  let mut lines = stdin.lock().lines();
  let xs: Vec<usize> = lines.next().unwrap().unwrap().split(' ').map(|x| x.parse().unwrap()).collect();
  let g = gcd(xs[0], xs[1]);
  let l = lcm_by_gcd(xs[0], xs[1], g);
  println!("{}", l);
}