B. Racetrack

B. Racetrack

time limit per test

1 second

memory limit per test

64 megabytes

input

standard input

output

standard output

Alice and Bob play different games. When Alice plays, she always wins exactly a points. When Bob plays, he always wins exactly  bpoints. 

Today, after they finished playing, they noticed they had the same number of points. What is the smallest number this could be?

Input

The first line contains two integers, a and b, separated by spaces, where a is the number of points Alice wins in one game and b is the number of points Bob wins in one game. 

Output

You should return the smallest possible number of points that Alice and Bob have, which should be an integer c. 

Examples

input

Copy

2 3

output

Copy

6

input

Copy

4 6

output

Copy

12

Note

Constraints:

1 ≤ a ≤ 10, 000

1 ≤ b ≤ 10, 000

1 ≤ c ≤ 100, 000, 000