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
import sys
def GcdLCM():
    for line in sys.stdin:
        x,y=map(int,line.split())
        if x==None:
            break
        
        gcd = Gcd(x,y)
        lcm = int(x*y/gcd)

        print("{} {}".format(gcd,lcm))
       
def Gcd(x,y):
    while x!=0:
        x,y=y%x,x
    return y
        
    
GcdLCM()