给定一个整数数组,任务是查找是否有可能使用这些数字的所有数字来构造一个整数,以使其可以被3整除。如果可能,则打印“是”,否则打印“否” 。
例子:
Input : arr[] = {40, 50, 90}
Output : Yes
We can construct a number which is
divisible by 3, for example 945000.
So the answer is Yes.
Input : arr[] = {1, 4}
Output : No
The only possible numbers are 14 and 41,
but both of them are not divisible by 3,
so the answer is No.
这个想法基于这样一个事实,即一个数字可以被3整除,而其数字的总和可以被3整除。因此,我们简单地找到数组元素的和。如果将总和除以3,我们的答案是“是”,否则“否”。
CPP
// C++ program to find if it is possible
// to make a number divisible by 3 using
// all digits of given array
#include
using namespace std;
bool isPossibleToMakeDivisible(int arr[], int n)
{
// Find remainder of sum when divided by 3
int remainder = 0;
for (int i=0; i
Java
// Java program to find if it is possible
// to make a number divisible by 3 using
// all digits of given array
import java.io.*;
import java.util.*;
class GFG
{
public static boolean isPossibleToMakeDivisible(int arr[], int n)
{
// Find remainder of sum when divided by 3
int remainder = 0;
for (int i=0; i
Python3
# Python program to find if it is possible
# to make a number divisible by 3 using
# all digits of given array
def isPossibleToMakeDivisible(arr, n):
# Find remainder of sum when divided by 3
remainder = 0
for i in range (0, n):
remainder = (remainder + arr[i]) % 3
# Return true if remainder is 0.
return (remainder == 0)
# main()
arr = [40, 50, 90 ];
n = 3
if (isPossibleToMakeDivisible(arr, n)):
print("Yes")
else:
print("No")
# Code Contributed by Mohit Gupta_OMG <(0_o)>
C#
// C# program to find if it is possible
// to make a number divisible by 3 using
// all digits of given array
using System;
class GFG
{
public static bool isPossibleToMakeDivisible(int []arr, int n)
{
// Find remainder of sum when divided by 3
int remainder = 0;
for (int i = 0; i < n; i++)
remainder = (remainder + arr[i]) % 3;
// Return true if remainder is 0.
return (remainder == 0);
}
public static void Main ()
{
int []arr = { 40, 50, 90 };
int n = 3;
if (isPossibleToMakeDivisible(arr, n))
Console.WriteLine("Yes");
else
Console.WriteLine("No");
}
}
// This code is contributed by vt_m
PHP
Javascript
输出:
Yes
时间复杂度:O(n)