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37 changes: 37 additions & 0 deletions extendedEuclidian.py
Original file line number Diff line number Diff line change
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#Author: Rcsm89

'''
Euclidian Algorithm to Greatest Common Divisor
'''
def gcd(a, b):
if(a%b == 0):
return b
else:
return gcd(b, a%b)

'''
Extended Euclidian Algorithm to generate keys
'''
def extgcd(a, b):
if (abs(a) >= abs(b)):
if a % b == 0:
v1 = [b, 0, 1]
return v1
else:
q = a // b
r = a % b
D, s, t = extgcd(b, r)
v2 = [D, t, s - t*q]
return v2
else:
return extgcd(abs(b), abs(a))

def test():
a = 57
b = 1461501637330902918203684832716283019655932313743
print ('gcd(a, b) = {}'.format(gcd(a, b)))
v = extgcd(a, b)
print ('D = {}, s = {}, t = {}'.format(v[0], v[1], v[2]))


test()