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Greatest Common Divisor (Python)
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#! /usr/bin/python | |
# Greatest Common Divisor in python | |
# recursive (as given) | |
def gcd_r(a, b): | |
if b == 0: | |
return a | |
return gcd(b, a % b) | |
# iterative: more efficient | |
# This is due to not requiring to traverse the stack and the better | |
# use of the cpu cache in a loop (although for such a small code | |
# snippet this difference can be minimal) | |
def gcd(a, b): | |
while b != 0: | |
a, b = b, a % b | |
return a | |
if __name__ == '__main__': | |
# Testing input values | |
assert gcd(5, 3) == gcd(3, 5) == 1 | |
assert gcd(10, 5) == gcd(5, 10) == 5 | |
assert gcd(1, 0) == gcd(0, 1) == 1 | |
assert gcd(10, 7) == gcd(7, 10) == 1 | |
assert gcd(8, 12) == gcd(12, 8) == 4 | |
assert gcd(21, 15) == gcd(15, 21) == 3 | |
assert gcd(27, 27) == 27 | |
assert gcd(10, 24) == 2 | |
assert gcd(1000, 80) == 40 | |
assert gcd(10000000, 86) == 2 |
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