human
Can you provide a code to multiplicative order and the other steps required given the following:
Multiplicative order | function for GCD.
Function return smallest + ve integer that holds condition A ^ k ( mod N ) = 1.
result store power of A that rised to the power N - 1.
modular arithmetic.
return smallest + ve integer.
increment power.
Driver program"
How can the above be solved in Python?
assistant
#Here is code to multiplicative order and the other steps required.
 def GCD ( a , b ) :
	if ( b == 0 ) :
		return a
	return GCD ( b , a % b )
def multiplicativeOrder ( A , N ) :
	if ( GCD ( A , N ) != 1 ) :
		return - 1
	result = 1
	K = 1
	while ( K < N ) :
		result = ( result * A ) % N
		if ( result == 1 ) :
			return K
		K = K + 1
	return - 1
A = 4
N = 7
print ( multiplicativeOrder ( A , N ) )