Add Two Numbers

##题目

####Add Two Numbers

You are given two linked lists representing two non-negative numbers. The digits are stored in reverse order and each of their nodes contain a single digit. Add the two numbers and return it as a linked list.

Input: (2 -> 4 -> 3) + (5 -> 6 -> 4)
Output: 7 -> 0 -> 8

##解题思路
该方法是用链表来表示两个整数间的求和,由于采用逆序排列,因此在做加法时只需要遍历两个链表即可,其中需要保存每一位相加后产生的进位。
需要注意的是最后一位相加是否产生新的进位。整体的时间复杂度为O(n)

##算法代码
代码采用JAVA实现:

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/**
* Definition for singly-linked list.
* public class ListNode {
* int val;
* ListNode next;
* ListNode(int x) {
* val = x;
* next = null;
* }
* }
*/

public class Solution {
public ListNode addTwoNumbers(ListNode l1, ListNode l2) {
ListNode l3=new ListNode(0);
ListNode result=l3;
ListNode prel3=l3;
if(l1==null)
return l2;
if(l2==null)
return l1;
while(l1!=null&&l2!=null)
{
int s=l1.val+l2.val+l3.val;
l3.val=s%10;
l3.next=new ListNode(s/10);
l1=l1.next;
l2=l2.next;
prel3=l3;
l3=l3.next;
}
ListNode rest;
if(l1==null)
rest=l2;
else
rest=l1;
while(rest!=null)
{
int s=rest.val+l3.val;
l3.val=s%10;
l3.next=new ListNode(s/10);
rest=rest.next;
prel3=l3;
l3=l3.next;
}
if(l3.val==0)
prel3.next=null;
else
l3.next=null;
return result;
}
}

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