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

def main():
    while 1:
        try:
            a = list(map(int, input().split()))
            b = gcd(a[0],a[1])
            c = a[0]/b*a[1]
            #d = [b,c]
            print('%d %d' % (b,c))
        except:
            break
            
main()          

