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47 lines
1.2 KiB
Python
47 lines
1.2 KiB
Python
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"""
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This is a pure Python implementation of the Harmonic Series algorithm
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https://en.wikipedia.org/wiki/Harmonic_series_(mathematics)
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For doctests run following command:
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python -m doctest -v harmonic_series.py
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or
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python3 -m doctest -v harmonic_series.py
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For manual testing run:
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python3 harmonic_series.py
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"""
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def harmonic_series(n_term: str) -> list:
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"""Pure Python implementation of Harmonic Series algorithm
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:param n_term: The last (nth) term of Harmonic Series
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:return: The Harmonic Series starting from 1 to last (nth) term
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Examples:
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>>> harmonic_series(5)
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['1', '1/2', '1/3', '1/4', '1/5']
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>>> harmonic_series(5.0)
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['1', '1/2', '1/3', '1/4', '1/5']
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>>> harmonic_series(5.1)
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['1', '1/2', '1/3', '1/4', '1/5']
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>>> harmonic_series(-5)
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[]
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>>> harmonic_series(0)
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[]
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>>> harmonic_series(1)
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['1']
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"""
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if n_term == "":
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return n_term
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series = []
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for temp in range(int(n_term)):
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series.append(f"1/{temp + 1}" if series else "1")
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return series
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if __name__ == "__main__":
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nth_term = input("Enter the last number (nth term) of the Harmonic Series")
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print("Formula of Harmonic Series => 1+1/2+1/3 ..... 1/n")
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print(harmonic_series(nth_term))
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