添加两个数字,以链接列表表示?
在这里,我们将看到如何将存储在单独链表中的两个数字相加。在链接列表中,存储了数字的每一位。如果数字是512,那么它将如下存储:
512 = (5)-->(1)-->(2)-->NULL
我们提供了两个这种类型的列表,我们的任务是将它们加起来并在计算总和后得到结果。在这里,我们使用C++STL链表。让我们看看该算法可以打出更好的主意。
算法
addListNumbers(l1,l2)
Begin Adjust the l1 and l2 lengths by adding leading 0s with the smaller one carry := 0 res := an empty list for each node n from l1, scan from last to first, do item := (l1.item + l2.item + carry) mod 10 insert item at the beginning of res carry := (l1.item + l2.item + carry) / 10 done if carry is not 0, then add carry at the beginning of res end if return res End
示例
#include<iostream> #include<list> using namespace std; list addListNumbers(list<int> l1, list<int> l2){ //在最短的数字上添加前导0,以使其长度相等 if(l1.size() > l2.size()){ for(int i = l2.size(); i != l1.size(); i++){ l2.push_front(0); } }else if(l1.size() < l2.size()){ for(int i = l1.size(); i != l2.size(); i++){ l1.push_front(0); } } list<int>::reverse_iterator it1 = l1.rbegin(); list<int>::reverse_iterator it2 = l2.rbegin(); list<int> result; int carry = 0; while(it1 != l1.rend()){ result.push_front((*it1 + *it2 + carry) % 10); carry = (*it1 + *it2 + carry) / 10; it1++; it2++; } if(carry != 0){ result.push_front(carry); } return result; } list<int> numToList(int n){ list<int> numList; while(n != 0){ numList.push_front(n % 10); n /= 10; } return numList; } void displayListNum(list<int> numList){ for(list<int>::iterator it = numList.begin(); it != numList.end(); it++){ cout<<*it; } cout << endl; } int main() { int n1 = 512; int n2 = 14578; list<int> n1_list = numToList(n1); list<int> n2_list = numToList(n2); list<int> res = addListNumbers(n1_list, n2_list); cout << "First number: "; displayListNum(n1_list); cout << "Second number: "; displayListNum(n2_list); cout << "Result: "; displayListNum(res); }
输出结果
First number: 512 Second number: 14578 Result: 15090