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(x, y):
    if x < y:
        x, y = y, x
    return x if y == 0 else gcd(y, x % y)


def run():
    while True:
        try:
            x, y = map(int, input().split())
            g = gcd(x, y)
            l = x * y // g
            print(g, l)
        except:
            break

if __name__ == '__main__':
    run()
