Write a program which computes the greatest common divisor (GCD) and the least common multiple (LCM) of given a and b.

Constraints

* 0 < a, b ≤ 2,000,000,000
* LCM(a, b) ≤ 2,000,000,000
* The number of data sets ≤ 50

Input

Input consists of several data sets. Each data set contains a and b separated by a single space in a line. The input terminates with EOF.

Output

For each data set, print GCD and LCM separated by a single space in a line.

Example

Input

8 6
50000000 30000000


Output

2 24
10000000 150000000
#mathモジュールをインポートする
import math
try:
    while True:
        a,b = map(int,input().split())
        #最小公約数
        num1 = math.gcd(a,b)
        #最大公倍数
        num2 = int(a * b / num1)
        print(str(num1) + " " + str(num2))
#EOFErrorをひろいコードを終了する
except EOFError:
    pass
