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
def GCD(a, b):
    if b == 0:
        return a
    return GCD(b, a % b)

def LCM(a, b):
    return a * b // GCD(a, b)

import sys
s = sys.stdin.readlines()
n = len(s)
for i in range(n):
    x, y = map(int, s[i].split())
    print(GCD(x, y), LCM(x, y))

