检查表示为数组的大数是否可以被 Y 整除
给定一个表示为数组arr[]的大整数X ,其中每个arr[i]在X中存储一个数字。任务是检查数组表示的数字是否可以被给定整数Y整除。
例子:
Input: arr[] = {1, 2, 1, 5, 6}, Y = 4
Output: Yes
12156 / 4 = 3039
Input: arr[] = {1, 1, 1, 1, 1, 1, 1, 1, 1}, Y = 14
Output: No
方法:从左边开始遍历给定数字的数字,取小于或等于Y的最大数字除以Y 。如果余数不是0 ,那么它将被传送到由剩余数字形成的下一个可能的数字,就像在长除法中一样。处理完完整的数字后,如果余数仍然不是 0,则表示的数字不能被Y整除,否则它是。
下面是上述方法的实现:
C++
// C++ implementation of the approach
#include
using namespace std;
// Function that returns true if the number represented
// by the given array is divisible by y
bool isDivisible(int* arr, int n, int y)
{
int d = 0, i = 0;
// While there are digits left
while (i < n) {
// Select the next part of the number
// i.e. the maximum number which is <= y
while (d < y && i < n)
d = d * 10 + arr[i++];
// Get the current remainder
d = d % y;
}
// If the final remainder is 0
if (d == 0)
return true;
return false;
}
// Driver code
int main()
{
int arr[] = { 1, 2, 1, 5, 6 };
int x = sizeof(arr) / sizeof(int);
int y = 4;
cout << (isDivisible(arr, x, y) ? "Yes" : "No");
return 0;
}
Java
// Java implementation of the approach
class GFG
{
// Function that returns true if the number represented
// by the given array is divisible by y
static boolean isDivisible(int [] arr, int n, int y)
{
int d = 0, i = 0;
// While there are digits left
while (i < n)
{
// Select the next part of the number
// i.e. the maximum number which is <= y
while (d < y && i < n)
d = d * 10 + arr[i++];
// Get the current remainder
d = d % y;
}
// If the final remainder is 0
if (d == 0)
return true;
return false;
}
// Driver code
public static void main (String[] args)
{
int [] arr = { 1, 2, 1, 5, 6 };
int x = arr.length;
int y = 4;
System.out.println(isDivisible(arr, x, y) ? "Yes" : "No");
}
}
// This code is contributed by ihritik
Python3
# Python3 implementation of the approach
# Function that returns true if the number represented
# by the given array is divisible by y
def isDivisible(arr, n, y):
d, i = 0, 0
# While there are digits left
while i < n:
# Select the next part of the number
# i.e. the maximum number which is <= y
while d < y and i < n:
d = d * 10 + arr[i]
i += 1
# Get the current remainder
d = d % y
# If the final remainder is 0
if d == 0:
return True
return False
# Driver code
if __name__ == "__main__":
arr = [ 1, 2, 1, 5, 6 ]
x = len(arr)
y = 4
if (isDivisible(arr, x, y)):
print("Yes")
else:
print("No")
# This code is contributed by
# sanjeev2552
C#
// C# implementation of the approach
using System;
class GFG
{
// Function that returns true if the number represented
// by the given array is divisible by y
static bool isDivisible(int [] arr, int n, int y)
{
int d = 0, i = 0;
// While there are digits left
while (i < n)
{
// Select the next part of the number
// i.e. the maximum number which is <= y
while (d < y && i < n)
d = d * 10 + arr[i++];
// Get the current remainder
d = d % y;
}
// If the final remainder is 0
if (d == 0)
return true;
return false;
}
// Driver code
public static void Main ()
{
int [] arr = { 1, 2, 1, 5, 6 };
int x = arr.Length;
int y = 4;
Console.WriteLine(isDivisible(arr, x, y) ? "Yes" : "No");
}
}
// This code is contributed by ihritik
Javascript
输出:
Yes