- 题目:给定两个非空链表,表示两个非负整数,链表的第一个元素存储整数的最高位,链表的每个节点表示整数的一位。将两个链表表示的整数相加,并且以链表的形式返回相加结果。
- 难度:Medium
- 思路:整数相加是先从低位开始,而我们的链表表头存储的是高位,因为无法通过直接遍历链表得到相加结果。可借助栈来实现先访问链表的低位。想到栈可以实现,便也可通过递归来实现。
代码:
借助栈实现
在相加的过程中,构建链表。
class Solution {
public ListNode addTwoNumbers(ListNode l1, ListNode l2) {
Stack<Integer> s1 = new Stack<Integer>();
Stack<Integer> s2 = new Stack<Integer>();
while(l1 != null) {
s1.push(l1.val);
l1 = l1.next;
};
while(l2 != null) {
s2.push(l2.val);
l2 = l2.next;
}
int sum = 0;
ListNode list = new ListNode(0);
while (!s1.empty() || !s2.empty()) {
if (!s1.empty()) sum += s1.pop();
if (!s2.empty()) sum += s2.pop();
list.val = sum % 10;
ListNode head = new ListNode(sum / 10);
head.next = list;
list = head;
sum /= 10;
}
return list.val == 0 ? list.next : list;
}
}
递归实现
class Solution {
public ListNode addTwoNumbers(ListNode l1, ListNode l2) {
int len1 = getLength(l1);
int len2 = getLength(l2);
ListNode head = new ListNode(0);
if (len1 < len2){
head.next = helper(l2, l1, len2-len1);
}else{
head.next = helper(l1, l2, len1-len2);
}
if(head.next.val > 9){
head.next.val = head.next.val%10;
head.val += 1;
return head;
}
return head.next;
}
public int getLength(ListNode node){
int count = 0;
while(node != null){
count++;
node = node.next;
}
return count;
}
public ListNode helper(ListNode l1, ListNode l2, int offset){
if (l1 == null){
return null;
}
ListNode result = null;
ListNode post = null;
if (offset == 0){
result = new ListNode(l1.val + l2.val);
post = helper(l1.next, l2.next, 0);
}else{
result = new ListNode(l1.val);
post = helper(l1.next, l2, offset-1);
}
if(post != null && post.val > 9){
result.val += 1;
post.val = post.val%10;
}
result.next = post;
return result;
}
}