Python program to calculate harmonic series

Question

Does anyone know how to write a program in Python that will calculate the addition of the harmonic series. i.e. 1 + 1/2 +1/3 +1/4...

Answer 1

Just a footnote on the other answers that used floating point; starting with the largest divisor and iterating downward (toward the reciprocals with largest value) will put off accumulated round-off error as much as possible.