高精度加法
// C = A + B, A >= 0, B >= 0
vector Add(vector& A, vector& B)
{
if (A.size() < B.size()) return Add(B, A);
vector C;
int t = 0;
for (int i = 0; i < A.size(); i ++ )
{
t += A[i];
if (i < B.size()) t += B[i];
C.push_back(t % 10);
t /= 10;
}
if (t) C.push_back(1);
return C;
}
高精度减法
// C = A - B, 满足A >= B, A >= 0, B >= 0
vector Sub(vector& A, vector& B)
{
vector C;
int t = 0;
for (int i = 0; i < A.size(); i ++ )
{
t = A[i] - t;
if (i < B.size()) t -= B[i];
C.push_back((t + 10) % 10);
t = t < 0 ? 1 : 0;
}
while (C.size() > 1 && C.back() == 0) C.pop_back();
return C;
}
高精度乘以低精度
// C = A * b, A >= 0, b >= 0
vector Mul(vector& A, int b)
{
vector C;
int t = 0;
for (int i = 0; i < A.size() || t; i ++ )
{
if (i < A.size()) t += A[i] * b;
C.push_back(t % 10);
t /= 10;
}
while (C.size() > 1 && C.back() == 0) C.pop_back();
return C;
}
高精度乘以高精度
// C = A * B, A >= 0, B >= 0
vector Mul(vector& A, vector& B)
{
vector C(A.size() + B.size());
for (int i = 0; i < A.size(); i ++ )
{
for (int j = 0; j < B.size(); j ++ )
{
C[i + j] += A[i] * B[j];
}
}
int t = 0;
for (int i = 0; i < C.size(); i ++ )
{
t += C[i];
C[i] = t % 10;
t /= 10;
}
while (C.size() > 1 && C.back() == 0) C.pop_back();
return C;
}
高精度除以低精度
// A / b = C ... r, A >= 0, b > 0
vector Div(vector& A, int b, int& r)
{
vector C;
r = 0;
for (int i = A.size() - 1; ~i; i -- )
{
r = r * 10 + A[i];
C.push_back(r / b);
r %= b;
}
reverse(C.begin(), C.end());
while (C.size() > 1 && C.back() == 0) C.pop_back();
return C;
}