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
from sys import stdin
import math

def GCD(a,b):
    if(a%b==0):
        return b
    else:
        c = a%b
        return GCD(b,c)

def LCM(a,b):
    gcd = GCD(a,b)
    return int(a*b/gcd)

for line in stdin:
    a,b = line.split(" ")
    a = int(a)
    b = int(b)
    gcd = GCD(a,b)
    lcm = LCM(a,b)

    print(str(gcd)+" "+str(lcm))


