title: Minimum Operations Make Gcd Array Multiple K
signature: function minimum_operations_make_gcd_array_multiple_k(a, n, k)
test_code: 
  
  -- SOLUTION CODE
  -- ============================================
  PLACEHOLDER_CODE_BODY
  
  -- TESTING CODE 
  -- ============================================
  function isCorrect(actual, expected)
      if type(expected) ~= type(actual) then
          return false
      end
      
      if type(expected) == 'table' then
          for k,v_expected in pairs(expected) do
              
              if actual[k] == nil then
                  return false
              end
              local v_actual = actual[k]
              if not isCorrect(v_actual, v_expected) then
                  return false
              end
              actual[k]=nil
          end
      
          if next(actual) then 
              return false
          end
          return true
      else
          return actual == expected
      end
  end
  
  function validateSolution(actual, expected)
      return isCorrect(actual,expected)
  end
  
  function driver(a, n, k, expected)
      local exec_result;
      local status, error_msg = pcall(function () 
          exec_result=PLACEHOLDER_FN_NAME(a, n, k) 
      end)
      if status then
          if validateSolution(exec_result,expected) then
              return "PASSED"
          end
          return "FAILED"
      else
          return string.format("ERROR=%s",string.gsub(error_msg,".*:[%d]+: ",""))
      end
  end
      
  function main()
      result = driver({3, 7, 27, 32, 36, 37, 44, 48, 50, 64, 86}, 5, 10, 19)
      print(string.format("TEST-0...%s",result))
  
      result = driver({-22, 6, -20, 60, -74, 98, 52, -22}, 5, 4, 130)
      print(string.format("TEST-1...%s",result))
  
      result = driver({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, 1, 1, 1, 1, 1}, 23, 29, 661)
      print(string.format("TEST-2...%s",result))
  
      result = driver({77, 11, 51, 11, 84, 79, 43, 12, 14, 50, 15, 6, 85, 32, 74, 49, 7, 2, 58}, 9, 17, 43)
      print(string.format("TEST-3...%s",result))
  
      result = driver({-90, -66, -64, -58, -46, -44, -32, -30, -30, -22, -18, -14, 12, 12, 18, 34, 44, 60, 70, 70, 74, 76, 86, 98, 98}, 12, 22, 778)
      print(string.format("TEST-4...%s",result))
  
      result = driver({1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1}, 36, 31, 1096)
      print(string.format("TEST-5...%s",result))
  
      result = driver({9, 22, 27, 27, 37, 53, 53, 56, 63, 73, 76, 81, 82}, 10, 11, 28)
      print(string.format("TEST-6...%s",result))
  
      result = driver({-46, 60, 80, 80, 42, -98, 30, -48, 4, -32, -78, 40, 52, 26, 88, 4, 22, 62, 88, -94, 2, 0, 58, 38, 52, -50, -52, 58, -62, 30, -38, -8, -82, -66}, 18, 19, 479)
      print(string.format("TEST-7...%s",result))
  
      result = driver({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}, 19, 22, 413)
      print(string.format("TEST-8...%s",result))
  
      result = driver({42, 69, 93, 82, 8, 23, 73, 1, 77, 39, 49, 4, 95, 85}, 12, 13, 51)
      print(string.format("TEST-9...%s",result))
  
  end
  
  main()
source_py: def minimum_operations_make_gcd_array_multiple_k(a, n, k):
      result = 0
      for i in range(n):
          if ((a[i] != 1) and (a[i] > k)):
              result = (result + min((a[i] % k), (k - (a[i] % k))))
          else:
              result = ((result + k) - a[i])
      return result
source_cpp: int minimum_operations_make_gcd_array_multiple_k(vector<int> a, int n, int k) {
    int result = 0;
    for ( int i = 0;
    i < n;
    ++ i ) {
      if ( a [ i ] != 1 && a [ i ] > k ) {
        result = result + min ( a [ i ] % k, k - a [ i ] % k );
      }
      else {
        result = result + k - a [ i ];
      }
    }
    return result;
  }