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 rec(a, b):
    if b == 0:
        return a
    return rec(b, a % b)

def main():
    while True:
        try:
            i, j = map(int, input().split())

            gcd = rec(i, j)
            lcm = i * j // gcd

            print(gcd, lcm)
        except:
            break

if __name__ == '__main__':
    main()