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: Accepted)

import sys
import fractions
sys.setrecursionlimit(10 ** 6)  # 再帰関数の再帰の深さを設定
to_index = lambda x: int(x) - 1  # 入力した数字に1を引いたものを返す
print_list_in_2D = lambda x: print(*x, sep="\n")  # リストの要素を改行を挟んで表示する関数

# 入力を整数に変換して受け取る
def input_int(): return int(input())

def map_int_input(): return map(int, input())

MII = map_int_input

def MII_split(): return map(int, input().split())

def MII_to_index(): return map(to_index, input())

def MII_split_to_index(): return map(to_index, input().split())

# 入力全てを整数に変換したものの配列を受け取る
def list_int_inputs(): return list(map(int, input()))

LII = list_int_inputs

def LII_split(): return list(map(int, input().split()))

# 2次元リスト化
def LII_2D(rows_number): return [LII() for _ in range(rows_number)]

def LII_split_2D(rows_number): return [LII_split() for _ in range(rows_number)]

def lcm(x, y):
    return (x * y) // fractions.gcd(x, y)

A, B = MII_split()

print(lcm(A, B))