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 PHP7 (7.0.15) (judge verdict: Accepted)

<?php

function gcd($x, $y) {
    if ($y == 1) {
        return 1;
    }

    if ($x % $y == 0) {
        return $y;
    }

    return gcd($y, $x % $y);
}

function lcm($x, $y) {
    return (int) ($x * $y / gcd($x, $y));
}

fscanf(STDIN, "%d %d", $a, $b);

echo lcm(max($a, $b), min($a, $b));