高精度减法
作者:
Oct_9
,
2024-04-02 00:41:28
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高精度减法
#include <iostream>
#include <algorithm>
#include <vector>
using namespace std;
const int N = 100000 + 10;
// 判断是否A >= B
bool cmp(vector<int> &A, vector<int> &B)
{
if (A.size() != B.size()) return A.size() > B.size();
for (int i = A.size() - 1; i >= 0; i --)
{
if (A[i] != B[i])
return A[i] > B[i];
}
return true;
}
// C = A + B
vector<int> sub(vector<int> &a, vector<int> &b)
{
vector<int> c;
int t = 0;
int i = 0;
for (; i < b.size(); i++)
{
if (a[i] >= b[i] + t)
{
c.push_back(a[i] - b[i] - t);
t = 0;
}
else
{
c.push_back(a[i] - b[i] - t + 10);
t = 1;
}
}
for (i; i < a.size(); i ++)
{
if(a[i] >= t)
{
c.push_back(a[i] - t);
t = 0;
}
else
{
c.push_back(a[i] + 10 - t);
t = 1;
}
}
while (c.size() > 1 && c.back() == 0) c.pop_back();
return c;
}
/*
vector<int> sub(vector<int> &A, vector<int> &B)
{
vector<int> C;
for (int i = 0, t = 0; i < A.size(); i ++)
{
int a = A[i] - t;
if (i < B.size()) a -= B[i];
C.push_back((a + 10) % 10);
if (a < 0) t = 1;
else t = 0;
}
while (C.size() > 1 && C.back() == 0) C.pop_back();
return C;
}*/
int main()
{
string a, b;
vector<int> A, B;
cin >> a >> b;
for (int i = a.size() - 1; i >= 0; i --) A.push_back(a[i] - '0');
for (int i = b.size() - 1; i >= 0; i --) B.push_back(b[i] - '0');
if (cmp(A, B))
{
auto C = sub(A, B);
for (int i = C.size() - 1; i >= 0; i --) printf("%d", C[i]);
}
else
{
auto C = sub(B, A);
printf("-");
for (int i = C.size() - 1; i >= 0; i --) printf("%d", C[i]);
}
return 0;
}