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::Read;

fn gcd(a: usize, b: usize) -> usize {
    if b == 0 { return a }
    gcd(b, a%b)
}

fn main() {
    let mut buf = String::new();
    let mut stdin = std::io::stdin();
    stdin.read_to_string(&mut buf).unwrap();
    let mut iter = buf.split_whitespace();

    let a: usize = iter.next().unwrap().parse().unwrap();
    let b: usize = iter.next().unwrap().parse().unwrap();

    let d = if a>b {
        gcd(a, b)
    } else {
        gcd(b, a)
    };
    let ans = a*b/d;
    println!("{}", ans);
}