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
def GCD(a, b):
	while b!=0:
		tmp=b
		b=a%b
		a=tmp
	return a
while True:
	try:
		a, b = map(int, input().split())
	except EOFError:
		break
	a, b = (a, b) if a>=b else (b, a)
	gcd=GCD(a,b)
	print(gcd, a*b//gcd)
