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 a % b == 0 :
        return b
    else :
        return gcd(b, a % b)

while True :
    try :
        a, b = map(int, input().split())
    except EOFError :
        break
    
    a, b = max(a, b), min(a, b)
    x = gcd(a, b)
    print(x, a * b // x)
