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
import math
def gcd(x,y):
    if(x%y==0):
        return y
    else:
        return(gcd(y,x%y))
try:
    while True:
        a,b= map(int, input().split())
        max1=gcd(a,b)
        min1=(a*b)//gcd(a,b)
        print(str(max1)+' '+str(min1))
except EOFError:
    pass
