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
# AOJ 0005 GCD and LCM
# Python3 2018.6.9 bal4u

def lcm(a, b):
	return a // gcd(a, b) * b

def gcd(a, b):
	while b != 0:
		r = a % b
		a = b
		b = r
	return a

while True:
    try:
        a = list(map(int, input().split()))
        print(gcd(a[0], a[1]), lcm(a[0], a[1]))
    except EOFError:
        break
