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
# 最大公約数：ユークリッドの互除法
import sys

def gcd(x, y):
    return y if not x%y else gcd(y, x%y)

def get_input():
    data = []
    for line in sys.stdin:
        a, b = [int(i) for i in line.split()]
        data.append((a,b))
    return data


data = get_input()

for x,y in data:
    GCD = gcd(x,y)
    LCM = x*y // GCD
    print(GCD, LCM)
