simplified-fractions

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1447. Simplified Fractions (Medium)

Given an integer n, return a list of all simplified fractions between 0 and 1 (exclusive) such that the denominator is less-than-or-equal-to n. The fractions can be in any order.

 

Example 1:

Input: n = 2
Output: ["1/2"]
Explanation: "1/2" is the only unique fraction with a denominator less-than-or-equal-to 2.

Example 2:

Input: n = 3
Output: ["1/2","1/3","2/3"]

Example 3:

Input: n = 4
Output: ["1/2","1/3","1/4","2/3","3/4"]
Explanation: "2/4" is not a simplified fraction because it can be simplified to "1/2".

Example 4:

Input: n = 1
Output: []

 

Constraints:

• 1 <= n <= 100

Related Topics

[Math]

Hints

Hint 1

A fraction is fully simplified if there is no integer that divides cleanly into the numerator and denominator.

Hint 2

In other words the greatest common divisor of the numerator and the denominator of a simplified fraction is 1.