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GCD and LCM functions in Python for several numbers
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| # Greatest common divisor of 1 or more numbers. | |
| from functools import reduce | |
| def gcd(*numbers): | |
| """ | |
| Return the greatest common divisor of 1 or more integers | |
| Examples | |
| -------- | |
| >>> gcd(5) | |
| 5 | |
| >>> gcd(30, 40) | |
| 10 | |
| >>> gcd(120, 40, 60) | |
| 20 | |
| """ | |
| # Am I terrible for doing it this way? | |
| from math import gcd | |
| return reduce(gcd, numbers) | |
| # Least common multiple is not in standard libraries? It's in gmpy, but this | |
| # is simple enough: | |
| def lcm(*numbers): | |
| """ | |
| Return lowest common multiple of 1 or more integers. | |
| Examples | |
| -------- | |
| >>> lcm(5) | |
| 5 | |
| >>> lcm(30, 40) | |
| 120 | |
| >>> lcm(120, 40, 60) | |
| 120 | |
| """ | |
| def lcm(a, b): | |
| return (a * b) // gcd(a, b) | |
| return reduce(lcm, numbers, 1) | |
| # Assuming numbers are positive integers... |
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