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98e9d6bdb6
* Fix style of the first ten solutions for Project Euler - Unify the header docstring, and add reference URLs to wikipedia or similar - Fix docstrings to be properly multilined - Add newlines where appropriate - Add doctests where they were missing - Remove doctests that test for the correct solution - fix obvious spelling or grammar mistakes in comments and exception messages - Fix line endings to be UNIX. This makes two of the files seem to have changed completely - no functional changes in any of the solutions were done (except for the spelling fixes mentioned above) * Fix docstrings and main function as per Style Guide
70 lines
1.7 KiB
Python
70 lines
1.7 KiB
Python
"""
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Project Euler Problem 5: https://projecteuler.net/problem=5
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Smallest multiple
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2520 is the smallest number that can be divided by each of the numbers
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from 1 to 10 without any remainder.
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What is the smallest positive number that is _evenly divisible_ by all
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of the numbers from 1 to 20?
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References:
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- https://en.wiktionary.org/wiki/evenly_divisible
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"""
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def solution(n: int = 20) -> int:
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"""
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Returns the smallest positive number that is evenly divisible (divisible
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with no remainder) by all of the numbers from 1 to n.
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>>> solution(10)
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2520
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>>> solution(15)
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360360
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>>> solution(22)
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232792560
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>>> solution(3.4)
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6
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>>> solution(0)
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Traceback (most recent call last):
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...
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ValueError: Parameter n must be greater than or equal to one.
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>>> solution(-17)
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Traceback (most recent call last):
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...
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ValueError: Parameter n must be greater than or equal to one.
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>>> solution([])
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Traceback (most recent call last):
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...
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TypeError: Parameter n must be int or castable to int.
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>>> solution("asd")
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Traceback (most recent call last):
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...
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TypeError: Parameter n must be int or castable to int.
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"""
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try:
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n = int(n)
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except (TypeError, ValueError):
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raise TypeError("Parameter n must be int or castable to int.")
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if n <= 0:
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raise ValueError("Parameter n must be greater than or equal to one.")
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i = 0
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while 1:
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i += n * (n - 1)
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nfound = 0
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for j in range(2, n):
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if i % j != 0:
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nfound = 1
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break
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if nfound == 0:
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if i == 0:
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i = 1
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return i
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if __name__ == "__main__":
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print(f"{solution() = }")
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