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 gcd(a, b):
	if b == 0:
		return a;
	return gcd(b, a % b);
	
def lcm(a, b):
	return a * b // gcd(a, b);

for line in sys.stdin:
	[a, b] = [int(num) for num in line.split()];
	print(str(gcd(a, b)) + ' ' + str(lcm(a, b)));