题目

分解讲解:

1.头部

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#include <bits/stdc++.h>
#define len(k) (k[0]) //k[0]表示数的位数,用len(k)表示更为清晰
using namespace std;
const int MAXN = 10000;
int a[MAXN], b[MAXN], c[MAXN], d[MAXN], tmp[MAXN];
int num, res;

2.读入

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void scan(int x[])
{
char str[MAXN];
scanf("%s", &str);
len(x) = strlen(str);
for (int i = 0; i < len(x); i++)
x[len(x) - i] = str[i] - '0'; //倒序写入
}

3.输出

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void print(int x[])
{
if (len(x) == 0)
{
printf("0\n");
return;
}
for (int i = len(x); i >= 1; i--)
printf("%d", x[i]);
putchar('\n');
}

4.初始化(清零)

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void init(int x[])
{
memset(x, 0, MAXN * sizeof(int));
}

5.复制

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void copy(int a[], int b[], int pos) //复制 a 数组到, b 数组从 pos 开始的地方
{
for (int i = 1; i <= len(a); i++)
b[i + pos - 1] = a[i];
len(b) = len(a) + pos - 1;
}

6.比较

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int compare(int x[], int y[]) //大于:1,小于:-1,等于:0
{
if (len(x) > len(y)) return 1;
if (len(x) < len(y)) return -1;
for (int i = len(x); i >= 1; i--)
{
if (x[i] > y[i]) return 1;
if (x[i] < y[i]) return -1;
}
return 0;
}

7.加法

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void add(int a[], int b[], int c[])
{
len(c) = max(len(a), len(b));
for (int i = 1; i <= len(c); i++)
{
c[i] += a[i] + b[i];
c[i + 1] = c[i] / 10;
c[i] %= 10;
}
while (c[len(c) + 1])
len(c)++;
}

8.减法

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void minu(int a[], int b[], int c[])
{
len(c) = max(len(a), len(b));
for (int i = 1; i <= len(c); i++)
{
c[i] += a[i] - b[i];
if (c[i] < 0)
{
c[i + 1]--;
c[i] += 10;
}
}
while (c[len(c)] == 0 && len(c) > 1)
len(c)--;
}

9.自减

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void selfminu(int a[], int b[])
{
for (int i = 1; i <= len(a); i++)
{
if (a[i] < b[i])
{
a[i + 1]--;
a[i] += 10;
}
a[i] -= b[i];
}
while (len(a) > 0 && a[len(a)] == 0)
len(a)--;
}

10. 乘法

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void mult(int a[], int b[], int c[])
{
len(c) = len(a) + len(b);
for (int i = 1; i <= len(a); i++)
for (int j = 1; j <= len(b); j++)
c[i + j - 1] += a[i] * b[j];
for (int i = 1; i <= len(c); i++)
if (c[i] > 9)
{
c[i + 1] += c[i] / 10;
c[i] %= 10;
}
while (c[len(c)] == 0 && len(c) > 1)
len(c)--;
}

11.除法

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void divi(int a[], int b[], int c[], int d[])
{
len(c) = len(a) - len(b) + 1;
copy(a, d, 1);
for (int i = len(c); i > 0; i--)
{
init(tmp);
copy(b, tmp, i);
while (compare(d, tmp) >= 0)
{
c[i]++;
selfminu(d, tmp);
}
}
while (len(c) > 0 && c[len(c)] == 0)
len(c)--;
}

12 高精除低精

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void selfDiviByLow(int a[], int b,int* res)
{
int c[MAXN]={0};
len(c)=len(a);
while (a[len(c)] < b)
{
a[len(c) - 1] += a[len(c)] * 10;
a[len(c)] = 0;
len(c)--;
}
for (int i = len(c); i >= 1; i--)
{
if (a[i] >= b)
{
c[i] = a[i] / b;
a[i] %= b;
}
a[i - 1] += a[i] * 10;
}
*res=a[1];
copy(c,a,1);
}

完整代码:

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#include <bits/stdc++.h>
#define len(k) (k[0])
using namespace std;
const int MAXN = 100000;
int a[MAXN], b[MAXN], c[MAXN], d[MAXN], tmp[MAXN];
int num, res;
void scan(int x[])
{
char str[MAXN];
scanf("%s", &str);
len(x) = strlen(str);
for (int i = 0; i < len(x); i++)
x[len(x) - i] = str[i] - '0';
}

void print(int x[])
{
if (len(x) == 0)
{
printf("0\n");
return;
}
for (int i = len(x); i >= 1; i--)
printf("%d", x[i]);
putchar('\n');
}

void init(int x[])
{
memset(x, 0, MAXN * sizeof(int));
}

void copy(int a[], int b[], int pos)
{
for (int i = 1; i <= len(a); i++)
b[i + pos - 1] = a[i];
len(b) = len(a) + pos - 1;
}

int compare(int x[], int y[])
{
if (len(x) > len(y)) return 1;
if (len(x) < len(y)) return -1;
for (int i = len(x); i >= 1; i--)
{
if (x[i] > y[i]) return 1;
if (x[i] < y[i]) return -1;
}
return 0;
}

void add(int a[], int b[], int c[])
{
len(c) = max(len(a), len(b));
for (int i = 1; i <= len(c); i++)
{
c[i] += a[i] + b[i];
c[i + 1] = c[i] / 10;
c[i] %= 10;
}
while (c[len(c) + 1])
len(c)++;
}

void minu(int a[], int b[], int c[])
{
len(c) = max(len(a), len(b));
for (int i = 1; i <= len(c); i++)
{
c[i] += a[i] - b[i];
if (c[i] < 0)
{
c[i + 1]--;
c[i] += 10;
}
}
while (c[len(c)] == 0 && len(c) > 1)
len(c)--;
}

void selfminu(int a[], int b[])
{
for (int i = 1; i <= len(a); i++)
{
if (a[i] < b[i])
{
a[i + 1]--;
a[i] += 10;
}
a[i] -= b[i];
}
while (len(a) > 0 && a[len(a)] == 0)
len(a)--;
}

void mult(int a[], int b[], int c[])
{
len(c) = len(a) + len(b);
for (int i = 1; i <= len(a); i++)
for (int j = 1; j <= len(b); j++)
c[i + j - 1] += a[i] * b[j];
for (int i = 1; i <= len(c); i++)
if (c[i] > 9)
{
c[i + 1] += c[i] / 10;
c[i] %= 10;
}
while (c[len(c)] == 0 && len(c) > 1)
len(c)--;
}

void divi(int a[], int b[], int c[], int d[])
{
len(c) = len(a) - len(b) + 1;
copy(a, d, 1);
for (int i = len(c); i > 0; i--)
{
init(tmp);
copy(b, tmp, i);
while (compare(d, tmp) >= 0)
{
c[i]++;
selfminu(d, tmp);
}
}
while (len(c) > 0 && c[len(c)] == 0)
len(c)--;
}

void selfDiviByLow(int a[], int b,int* res)
{
int c[MAXN]={0};
len(c)=len(a);
while (a[len(c)] < b)
{
a[len(c) - 1] += a[len(c)] * 10;
a[len(c)] = 0;
len(c)--;
}
for (int i = len(c); i >= 1; i--)
{
if (a[i] >= b)
{
c[i] = a[i] / b;
a[i] %= b;
}
a[i - 1] += a[i] * 10;
}
*res=a[1];
copy(c,a,1);
}

int main()
{
scan(a);
scan(b);
scanf("%d", &num);

add(a, b, c);
print(c);
init(c);

if (compare(a, b) == -1)
{
printf("-");
minu(b, a, c);
}
else minu(a, b, c);
print(c);
init(c);

mult(a, b, c);
print(c);
init(c);

divi(a, b, c, d);
print(c);
print(d);

selfDiviByLow(a,num,&res);
print(a);
printf("%d",res);
}