Project Euler Question 26 Reciprocal Cycles in Turkish
Project Euler Question 26 Reciprocal Cycles in Turkish
In a unit fraction, the numerator is 1. Here is the decimal representation of unit fractions with denominators from 2 to 10:1/2 = 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
Here, 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.
Find the value of d < 1000 for which 1/d contains the longest recurring cycle in its decimal fraction part.
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