title: Largest Subsequence Gcd Greater 1
signature: class Solution {
  
      public int LargestSubsequenceGcdGreater1(List<int> arr, int n) {
test_code: using System;
  using System.Numerics;
  using System.Diagnostics;
  using System.Collections.Generic;
  using System.Linq;
  using System.Text;
  using System.Security.Cryptography;
  using System.Web.UI;
  using System.Web.Script.Serialization;
  
  // SOLUTION CODE
  // ============================================
  PLACEHOLDER_CODE_BODY
  
  // TESTING CODE 
  // ============================================
  namespace EvaluatePrediction {
      class TestRunner {
          public bool ValidateSolution(int actual, int expected){
              return new JavaScriptSerializer().Serialize(actual) == new JavaScriptSerializer().Serialize(expected);
          }
  
          public string driver(List<int> arr, int n, int expected){
              try{
                PLACEHOLDER_CLS_NAME solution_cls = new PLACEHOLDER_CLS_NAME();
                int pred_result = solution_cls.PLACEHOLDER_FN_NAME(arr, n); 
                if (ValidateSolution(
                      pred_result,
                      expected)){
                  return "PASSED";
                }
                return "FAILED";
              } 
              catch (Exception exception_obj)
              {
                return exception_obj.GetType().FullName;
              }
          }
          static void Main(string[] args) {
              TestRunner runner = new TestRunner();
              String result;
              result = runner.driver(
                  new List<int>{10, 18, 22, 22, 22, 29, 30, 32, 33, 34, 37, 39, 40, 41, 44, 47, 49, 50, 50, 51, 53, 67, 69, 70, 71, 71, 73, 75, 78, 80, 81, 82, 91, 91, 93, 97, 97, 99}, 35, 
                  16
              );
              Console.WriteLine(string.Format(
                  "TEST-0...{0}",
                  result)
              );result = runner.driver(
                  new List<int>{-42, 62, 6, 98, 38, -4, -38, 72, 42, 4, -22, -94, 78, -90, 14}, 10, 
                  10
              );
              Console.WriteLine(string.Format(
                  "TEST-1...{0}",
                  result)
              );result = runner.driver(
                  new List<int>{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1}, 23, 
                  0
              );
              Console.WriteLine(string.Format(
                  "TEST-2...{0}",
                  result)
              );result = runner.driver(
                  new List<int>{89, 92, 96, 71, 24, 27, 18, 19, 41, 1, 45, 8}, 7, 
                  4
              );
              Console.WriteLine(string.Format(
                  "TEST-3...{0}",
                  result)
              );result = runner.driver(
                  new List<int>{-98, -94, -92, -90, -82, -80, -76, -76, -72, -62, -60, -58, -56, -52, -42, -36, -32, -32, -24, -22, -20, -10, -10, -10, -8, -2, -2, 0, 2, 4, 6, 6, 8, 10, 14, 18, 22, 26, 30, 46, 46, 62, 68, 74, 78, 82, 86, 86}, 40, 
                  40
              );
              Console.WriteLine(string.Format(
                  "TEST-4...{0}",
                  result)
              );result = runner.driver(
                  new List<int>{1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1}, 41, 
                  0
              );
              Console.WriteLine(string.Format(
                  "TEST-5...{0}",
                  result)
              );result = runner.driver(
                  new List<int>{4, 8, 10, 10, 11, 17, 18, 25, 32, 33, 34, 37, 40, 41, 44, 47, 47, 52, 63, 77, 85, 87, 89, 89, 91, 95, 96, 98}, 23, 
                  10
              );
              Console.WriteLine(string.Format(
                  "TEST-6...{0}",
                  result)
              );result = runner.driver(
                  new List<int>{-86, 52, -48, 70, 10, -94, 16, 14, 38, 62}, 9, 
                  9
              );
              Console.WriteLine(string.Format(
                  "TEST-7...{0}",
                  result)
              );result = runner.driver(
                  new List<int>{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1}, 30, 
                  0
              );
              Console.WriteLine(string.Format(
                  "TEST-8...{0}",
                  result)
              );result = runner.driver(
                  new List<int>{95, 32, 87, 37, 86, 71, 30, 88, 96, 52, 88, 92, 79, 86, 19, 5, 74, 67}, 13, 
                  8
              );
              Console.WriteLine(string.Format(
                  "TEST-9...{0}",
                  result)
              );
          }
      }
  }
  
source_py: def largest_subsequence_gcd_greater_1(arr, n):
      ans = 0
      maxele = max(arr)
      for i in range(2, (maxele + 1)):
          count = 0
          for j in range(n):
              if ((arr[j] % i) == 0):
                  count += 1
          ans = max(ans, count)
      return ans
source_cpp: int largest_subsequence_gcd_greater_1(vector<int> arr, int n) {
    int ans = 0;
    int maxele = * max_element(arr.begin(), arr.end());
    for ( int i = 2;
    i <= maxele;
    ++ i ) {
      int count = 0;
      for ( int j = 0;
      j < n;
      ++ j ) {
        if ( arr [ j ] % i == 0 ) ++ count;
      }
      ans = max ( ans, count );
    }
    return ans;
  }