TheAlgorithms-Python
46 строк · 1.2 Кб
1"""
2This is a pure Python implementation of the Harmonic Series algorithm
3https://en.wikipedia.org/wiki/Harmonic_series_(mathematics)
4
5For doctests run following command:
6python -m doctest -v harmonic_series.py
7or
8python3 -m doctest -v harmonic_series.py
9
10For manual testing run:
11python3 harmonic_series.py
12"""
13
14
15def harmonic_series(n_term: str) -> list:
16"""Pure Python implementation of Harmonic Series algorithm
17
18:param n_term: The last (nth) term of Harmonic Series
19:return: The Harmonic Series starting from 1 to last (nth) term
20
21Examples:
22>>> harmonic_series(5)
23['1', '1/2', '1/3', '1/4', '1/5']
24>>> harmonic_series(5.0)
25['1', '1/2', '1/3', '1/4', '1/5']
26>>> harmonic_series(5.1)
27['1', '1/2', '1/3', '1/4', '1/5']
28>>> harmonic_series(-5)
29[]
30>>> harmonic_series(0)
31[]
32>>> harmonic_series(1)
33['1']
34"""
35if n_term == "":
36return []
37series: list = []
38for temp in range(int(n_term)):
39series.append(f"1/{temp + 1}" if series else "1")
40return series
41
42
43if __name__ == "__main__":
44nth_term = input("Enter the last number (nth term) of the Harmonic Series")
45print("Formula of Harmonic Series => 1+1/2+1/3 ..... 1/n")
46print(harmonic_series(nth_term))
47