Largest Divisible Subset
You are given a set of numbers nums
consisting of distinct numbers. Find the size of the
largest subset that satisfies the following condition: for each two number pairings in the
set, one number is divisible by the other.
Input
nums
: a list integers representing the set.
Output
An integer representing the size of the largest subset that satisfy the condition.
Examples
Example 1:
Input:
1nums = [1, 2, 3]
Output: 2
Explanation:
Either [1, 2]
or [1, 3]
satisfy the condition, because both 2
and 3
are both
divisible by 1
. Either way, the largest set has a size of 2
.
Example 2:
Input:
1nums = [1, 2, 4, 8]
Output: 4
Explanation:
In this set, for each pair of numbers, at least one is divisible by the other because
they are all powers of 2
. As such, the max subset has a size of 4
, the size of
the original set.
Constraints
1 <= len(nums) <= 1000
1 <= nums[i] <= 10^9
- Each number in
nums
is unique
Try it yourself
Solution
Title
Script
Lorem Ipsum is simply dummy text of the printing and typesetting industry. Lorem
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has been the industry's standard dummy text ever since the 1500s, when an unknown printer took a galley of type and scrambled it to make a type specimen book.
Contrary to popular belief, Lorem
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is not simply random text.
1 >>> a = [1, 2, 3] 2 >>> a[-1] 3 3