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Too bad the explanation is not very clear...
The description says :
"The rational given to decompose could be greater than one or equal to one, in which case the first "fraction" will be an integer (with an implicit denominator of 1)."
The test cases do not appropriately conform to the specifications of the task. For example, on input
12/4the test expects the result[3], however this does not satisfy the requirement that numerators in the decomposition must equal1. The correct result should be[1/1, 1/2, 1/3, 1/4, 1/5, 1/6, 1/7, 1/8, 1/9, 1/10, 1/15, 1/230, 1/57960]Yep, to be precise, this algorithm runs in time O(n), but the problem can be solved in O(logn).
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This problem is NP-Hard, so it's unlikely it can be made any more efficient.
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This has a runtime of O(n^2), it can be done more efficiently at O(n)