给定一个整数数组,任务是查找是否可以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.
// 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 < n; i++)
remainder = (remainder + arr[i]) % 3;
// Return true if remainder is 0.
return (remainder == 0);
}
// Driver code
int main()
{
int arr[] = { 40, 50, 90 };
int n = sizeof(arr) / sizeof(arr[0]);
if (isPossibleToMakeDivisible(arr, n))
printf("Yes\n");
else
printf("No\n");
return 0;
}
输出:
Yes
时间复杂度:O(n)
请参阅完整的文章,关于使用数组中的所有数字将数字除以3的可能性,以获取更多详细信息!
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