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How to Solve Number of Different Subsequences GCDs Problem
Master the Number of Different Subsequences GCDs LeetCode problem with undetectable real-time assistance. Get instant solutions and explanations during your coding interviews.
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LeetCode ProblemNumber of Different Subsequences GCDs
You are given an array nums that consists of positive integers. The GCD of a sequence of numbers is defined as the greatest integer that divides all the numbers in the sequence evenly. A subsequence of an array is a sequence that can be formed by removing some elements (possibly none) of the array. Return the number of different GCDs among all non-empty subsequences of nums.
ArrayMathCountingNumber Theory
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Problem Breakdown
Understanding the Number of Different Subsequences GCDs Problem
Let's break down this LeetCode problem and understand what makes it challenging in interview settings.
Problem Statement
You are given an array nums that consists of positive integers. The GCD of a sequence of numbers is defined as the greatest integer that divides all the numbers in the sequence evenly. A subsequence of an array is a sequence that can be formed by removing some elements (possibly none) of the array. Return the number of different GCDs among all non-empty subsequences of nums.
HardProblem #1819
LeetCodeNumber of Different Subsequences GCDs
Related Topics
ArrayMathCountingNumber Theory
How Phantom Code Helps
Get real-time assistance for Number of Different Subsequences GCDs problems during coding interviews. Phantom Code provides instant solutions and explanations.
Examples
# Example 1
Input
nums = [6,10,3]
Output
5
# Example 2
Input
nums = [5,15,40,5,6]
Output
7
Constraints
1 <= nums.length <= 105
1 <= nums[i] <= 2 * 105
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Solve Number of Different Subsequences GCDs — You are given an array nums that consists of positive integers. The GCD of a seq...
Here's the optimal approach using Array:
def solve(input):
# Optimal O(n) solution
return result
Time: O(n) | Space: O(n)
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Frequently Asked Questions
Common questions about solving Number of Different Subsequences GCDs and using Phantom Code during coding interviews.
How does Phantom Code help me solve coding problems like Number of Different Subsequences GCDs during interviews?
Phantom Code generates complete solutions instantly with proper complexity analysis, letting you focus on explaining your approach and demonstrating problem-solving skills rather than getting stuck on implementation details during high-pressure situations.
What if the interviewer asks follow-up questions or modifications to problems like Number of Different Subsequences GCDs?
Phantom Code adapts in real-time. Screenshot the modified problem or use audio mode to capture the interviewer's follow-up, and get an updated solution within seconds — including edge cases and optimizations.
Can Phantom Code help me communicate my solution for problems like Number of Different Subsequences GCDs?
Yes. Phantom Code provides step-by-step approach explanations with 3 progressive thoughts, so you can walk through your solution naturally. It also provides time and space complexity analysis to discuss trade-offs.
How does Phantom Code assist with different programming languages for Number of Different Subsequences GCDs type problems?
Phantom Code supports 11 programming languages including Python, Java, C++, JavaScript, TypeScript, Go, Rust, Ruby, Swift, Kotlin, and C#. Set your preferred language and get idiomatic solutions.
What coding mistakes does Phantom Code help me avoid during Number of Different Subsequences GCDs interviews?
Phantom Code catches common mistakes like off-by-one errors, missing edge cases, incorrect base conditions, and suboptimal approaches. It provides clean, well-structured code that handles all edge cases.
Is Phantom Code detectable when solving problems like Number of Different Subsequences GCDs during live interviews?
No. Phantom Code runs as an invisible desktop overlay that doesn't appear in screen shares, recordings, or proctoring software. It works with Zoom, HackerRank, CodeSignal, CoderPad, and all major platforms.
How does Phantom Code help when I'm struggling with Number of Different Subsequences GCDs style questions under pressure?
The AI provides structured guidance: first the approach (what algorithm/data structure to use and why), then the implementation with clean code, and finally complexity analysis. This helps you think clearly even under pressure.
Does Phantom Code work for the coding platforms used in Number of Different Subsequences GCDs interviews?
Yes. Phantom Code works with all major coding platforms including LeetCode, HackerRank, CodeSignal, CoderPad, HackerEarth, and any browser-based coding environment.
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