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
t = 0
while t == 0:	
	try:
		x,y=[int(i) for i in input().split()]
	except:
		break
	else:
		a = x * y
		if x < y:
			x,y =y,x
		while y > 0:
			r = x % y
			x = y
			y = r
	print(str(x) + " " + str(int(a / x)))