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$4\mathrm{.}1\mathrm{.}3$: Simple while Loop Exercises.

$553090\mathrm{.}4153978\mathrm{.}93zqy7$

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The sum of the reciprocals $1+\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+$dots is infinite. Write a program that reads in a target and finds the first $n$ such that $1+\frac{1}{2}+\frac{1}{3}+$dots$+\frac{1}{n}>$ target.