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):
    while (a % b) != 0:
        a,b = b, a%b
    return b

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

while True:
    try:
        a,b =map(int,raw_input().split())
        print GCD(a,b),LCM(a,b)
    except:
        break