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
import sys
import fractions

def main():

    dataset = sys.stdin.readlines()
    for data in dataset:
        a, b = map(int, data.split())
        gcd_num = fractions.gcd(a, b)
        print('%d %d' % (gcd_num, a * b / gcd_num))
        
    
main()