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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
39 lines
851 B
Python
39 lines
851 B
Python
"""
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Project Euler Problem 1: https://projecteuler.net/problem=1
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Multiples of 3 and 5
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If we list all the natural numbers below 10 that are multiples of 3 or 5,
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we get 3, 5, 6 and 9. The sum of these multiples is 23.
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Find the sum of all the multiples of 3 or 5 below 1000.
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"""
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def solution(n: int = 1000) -> int:
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"""
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Returns the sum of all the multiples of 3 or 5 below n.
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>>> solution(3)
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0
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>>> solution(4)
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3
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>>> solution(10)
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23
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>>> solution(600)
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83700
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"""
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total = 0
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terms = (n - 1) // 3
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total += ((terms) * (6 + (terms - 1) * 3)) // 2 # total of an A.P.
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terms = (n - 1) // 5
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total += ((terms) * (10 + (terms - 1) * 5)) // 2
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terms = (n - 1) // 15
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total -= ((terms) * (30 + (terms - 1) * 15)) // 2
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return total
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if __name__ == "__main__":
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print(f"{solution() = }")
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