给定两个大数或小数,任务是找到这两个数的乘积的最后一位。
例子:
Input: a = 1234567891233789, b = 567891233156156
Output: 4
Input: a = 123, b = 456
Output: 8
方法:通常,两个数字a和b相乘的最后一位数字是这两个数字的LSB乘积的最后一位数字。
例如:对于a = 123和b = 456,
a * b的最后一位
=(((a的LSB)**(b的LSB))的最后一位
=((3)*(6))的最后一位
=(18)的最后一位
= 8
下面是上述方法的实现:
C++
// C++ implementation of the above approach
#include
using namespace std;
// Fthe unction to print last digit of product a * b
void lastDigit(string a, string b)
{
int lastDig = (a[a.length() - 1] - '0')
* (b[b.length() - 1] - '0');
cout << lastDig % 10;
}
// Driver code
int main()
{
string a = "1234567891233", b = "1234567891233156";
lastDigit(a, b);
return 0;
}
Java
// Java implementation of the above approach
class Solution {
// Function to print last digit of product a * b
public static void lastDigit(String a, String b)
{
int lastDig = (a.charAt(a.length() - 1) - '0')
* (b.charAt(b.length() - 1) - '0');
System.out.println(lastDig % 10);
}
// Driver code
public static void main(String[] args)
{
String a = "1234567891233", b = "1234567891233156";
lastDigit(a, b);
}
}
Python3
# Python3 implementation of the above approach
# Function to print the last digit
# of product a * b
def lastDigit(a, b):
lastDig = ((int(a[len(a) - 1]) - int('0')) *
(int(b[len(b) - 1]) - int('0')))
print(lastDig % 10)
# Driver code
if __name__ == '__main__':
a, b = "1234567891233", "1234567891233156"
lastDigit(a, b)
# This code has been contributed
# by 29AjayKumar
C#
// CSharp implementation of the above approach
using System;
class Solution {
// Function to print last digit of product a * b
public static void lastDigit(String a, String b)
{
int lastDig = (a[a.Length - 1] - '0')
* (b[b.Length - 1] - '0');
Console.Write(lastDig % 10);
}
// Driver code
public static void Main()
{
String a = "1234567891233", b = "1234567891233156";
lastDigit(a, b);
}
}
PHP
Javascript
输出:
8
时间复杂度: O(1)。