Problem 2672. Largest Geometric Series

Created by rifat

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Extension of Ned Gulley's wonderful Problem 317.
In a geometric series, ratio of adjacent elements is always a constant value. For example, [2 6 18 54] is a geometric series with a constant adjacent-element ratio of 3.
A vector will be given. Find the largest geometric series that can be formed from the vector.
Example:
 input = [2 4 8 16 1000 2000];
 output = [2 4 8 16]; 
Update - Test case added on 21/8/22

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Last Solution submitted on Oct 23, 2025

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Jean-Marie Sainthillier on 18 Dec 2015

Interesting problem but tests are too tricky.

Rafael S.T. Vieira on 16 Aug 2020

I am not sure that a list of equal numbers qualifies as a series. Would it be a geometric or an arithmetic series?

Lincoln Poon on 17 Feb 2021

'Randperm' is making this question a whole lot harder...

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Problem 2672. Largest Geometric Series

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Problem 2672. Largest Geometric Series

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Last 200 Solutions

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Problem Recent Solvers109

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