39 lines
808 B
Python
39 lines
808 B
Python
#coding: utf-8
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''' mbinary
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#######################################################################
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# File : gcd.py
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# Author: mbinary
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# Mail: zhuheqin1@gmail.com
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# Blog: https://mbinary.xyz
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# Github: https://github.com/mbinary
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# Created Time: 2018-12-16 10:06
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# Description:
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#######################################################################
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'''
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def gcd(a, b):
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while b != 0:
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a, b = b, a % b
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return a
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def lcm(a, b):
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return int(a*b/gcd(a, b))
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def xgcd(a, b):
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'''return gcd(a,b), x,y where ax+by=gcd(a,b)'''
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if b == 0:
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return a, 1, 0
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g, x, y = xgcd(b, a % b)
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return g, y, x-a//b*y
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if __name__ == '__main__':
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while 1:
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a = int(input('a: '))
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b = int(input('b: '))
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print('gcd :', gcd(a, b))
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print('xgcd:', xgcd(a, b))
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