human
Write me a code to count of all possible pairs having sum of LCM and GCD equal to N and the other steps required given the following:
Count of all possible pairs having sum of LCM and GCD equal to N | Recursive function to return gcd of a and b.
Function to calculate and return LCM of two numbers.
Function to count pairs whose sum of GCD and LCM is equal to N.
Driver code"
How can the above be solved in Python?
assistant
#Here is code to count of all possible pairs having sum of LCM and GCD equal to N and the other steps required.
 def __gcd ( a , b ) :
	if b == 0 :
		return a
	else :
		return __gcd ( b , a % b )
def lcm ( a , b ) :
	return ( a * b ) // __gcd ( a , b )
def countPair ( N ) :
	count = 0
	for i in range ( 1 , N + 1 ) :
		for j in range ( 1 , N + 1 ) :
			if ( __gcd ( i , j ) + lcm ( i , j ) == N ) :
				count += 1
	return count
if __name__ == " _ _ main _ _ " :
	N = 14
	print ( countPair ( N ) )