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

def lcm(a, b):
    return ((a*b) // gcd(a,b))

while(1):
    try:
        x,y = (int(x) for x in input().split())
        print(gcd(x,y),lcm(x,y))
    except:
        break
