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 Python (3.4.3) (judge verdict: Wrong Answer)

def main():
	A,B = map(int, input().split())
	A,B = max(A,B), min(A,B)
	G = gcd(A,B)
	# G:最大公約数, L:最小公倍数
	# AB=GL
	L=A*B/G
	print(int(L))

def gcd(a,b):
#	a,b = max(a,b), min(a,b)
	if a%b == 0:
		return b
	return gcd(a//b, a%b)


if __name__ == '__main__':
	main()