Python/maths/euclidean_gcd.py
2021-03-22 10:52:26 +01:00

48 lines
1.2 KiB
Python

""" https://en.wikipedia.org/wiki/Euclidean_algorithm """
def euclidean_gcd(a: int, b: int) -> int:
"""
Examples:
>>> euclidean_gcd(3, 5)
1
>>> euclidean_gcd(6, 3)
3
"""
while b:
a, b = b, a % b
return a
def euclidean_gcd_recursive(a: int, b: int) -> int:
"""
Recursive method for euclicedan gcd algorithm
Examples:
>>> euclidean_gcd_recursive(3, 5)
1
>>> euclidean_gcd_recursive(6, 3)
3
"""
return a if b == 0 else euclidean_gcd_recursive(b, a % b)
def main():
print(f"euclidean_gcd(3, 5) = {euclidean_gcd(3, 5)}")
print(f"euclidean_gcd(5, 3) = {euclidean_gcd(5, 3)}")
print(f"euclidean_gcd(1, 3) = {euclidean_gcd(1, 3)}")
print(f"euclidean_gcd(3, 6) = {euclidean_gcd(3, 6)}")
print(f"euclidean_gcd(6, 3) = {euclidean_gcd(6, 3)}")
print(f"euclidean_gcd_recursive(3, 5) = {euclidean_gcd_recursive(3, 5)}")
print(f"euclidean_gcd_recursive(5, 3) = {euclidean_gcd_recursive(5, 3)}")
print(f"euclidean_gcd_recursive(1, 3) = {euclidean_gcd_recursive(1, 3)}")
print(f"euclidean_gcd_recursive(3, 6) = {euclidean_gcd_recursive(3, 6)}")
print(f"euclidean_gcd_recursive(6, 3) = {euclidean_gcd_recursive(6, 3)}")
if __name__ == "__main__":
main()