mirror of
https://github.com/TheAlgorithms/Python.git
synced 2024-11-27 15:01:08 +00:00
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
"""
|
|
Project Euler Problem 1: https://projecteuler.net/problem=1
|
|
|
|
Multiples of 3 and 5
|
|
|
|
If we list all the natural numbers below 10 that are multiples of 3 or 5,
|
|
we get 3, 5, 6 and 9. The sum of these multiples is 23.
|
|
|
|
Find the sum of all the multiples of 3 or 5 below 1000.
|
|
"""
|
|
|
|
|
|
def solution(n: int = 1000) -> int:
|
|
"""
|
|
Returns the sum of all the multiples of 3 or 5 below n.
|
|
|
|
>>> solution(3)
|
|
0
|
|
>>> solution(4)
|
|
3
|
|
>>> solution(10)
|
|
23
|
|
>>> solution(600)
|
|
83700
|
|
"""
|
|
|
|
total = 0
|
|
terms = (n - 1) // 3
|
|
total += ((terms) * (6 + (terms - 1) * 3)) // 2 # total of an A.P.
|
|
terms = (n - 1) // 5
|
|
total += ((terms) * (10 + (terms - 1) * 5)) // 2
|
|
terms = (n - 1) // 15
|
|
total -= ((terms) * (30 + (terms - 1) * 15)) // 2
|
|
return total
|
|
|
|
|
|
if __name__ == "__main__":
|
|
print(f"{solution() = }")
|