Problem 273. Recurring Cycle Length (Inspired by Project Euler Problem 26)

@bmtran (Bryant Tran)

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Preface: This problem is inspired by Project Euler Problem 26 and uses text from that question to explain what a recurring cycle is.
Description
A unit fraction contains 1 in the numerator. The decimal representation of the unit fractions with denominators 2 to 10 are given:
1/2  =   0.5
1/3  =  0.(3)
1/4  =   0.25
1/5  =   0.2
1/6  =   0.1(6)
1/7  =   0.(142857)
1/8  =   0.125
1/9  =   0.(1)
1/10 =   0.1
Where 0.1(6) means 0.166666..., and has a 1-digit recurring cycle. It can be seen that 1/7 has a 6-digit recurring cycle.
Create a function that can determine the length of the recurring cycle of 1/d given d.

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548 Solutions

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Last Solution submitted on Jan 05, 2026

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@bmtran (Bryant Tran) on 23 Feb 2012

sorry everyone, there was an issue in my reference solution used to generate the test suite. I have corrected this now.

rasesh pradhan on 19 Jan 2021

where is the solutions

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