hdu 1042 N!(高精度乘法 + 缩进)
题目大意:求n!, n 的上限是10000。
解题思路:高精度乘法 , 因为数据量比较大, 所以得用到缩进,但因为是乘法,缩进只能在10^5, 不然在乘的过程中就超过int型。然后数值位数大概在8000位以下。
#include <iostream> #include <string.h> using namespace std; const int MAXN = 100000; const int N = 8000; struct bign { int len; int s[N]; bign() { this -> len = 1; memset(s, 0, sizeof(s)); } bign (int number) {*this = number;} bign (const char* number) {*this = number;} bign change(bign cur) { bign now; now = cur; for (int i = 0; i < cur.len; i++) now.s[i] = cur.s[cur.len - i - 1]; return now; } void delZore() { // 删除前导0. bign now = change(*this); while (now.s[now.len - 1] == 0 && now.len > 1) { now.len--; } *this = change(now); } void put() { // 输出数值。 delZore(); printf("%d", s[0]); for (int i = 1; i < len; i++) printf("%05d", s[i]); } bign operator = (const char *number) { memset(s, 0, sizeof(s)); int dist = strlen(number); int k = dist % 8; for (int i = 0; i < k; i++) s[0] = s[0] * 10 + number[i] - '0'; int cnt = 0; for (int i = k; i < dist; i++, cnt++) s[cnt / 8 + 1] = s[cnt / 8 + 1] * 10 + number[i] - '0'; len = cnt / 8 + 1; return *this; } bign operator = (int number) { char string[N]; sprintf(string, "%d", number); *this = string; return *this; } bign operator * (const bign &cur){ bign sum, a, b; sum.len = 0; a = a.change(*this); b = b.change(cur); for (int i = 0; i < a.len; i++){ int g = 0; for (int j = 0; j < b.len; j++){ int x = a.s[i] * b.s[j] + g + sum.s[i + j]; sum.s[i + j] = x % MAXN; g = x / MAXN; } sum.len = i + b.len; while (g){ sum.s[sum.len++] = g % MAXN; g = g / MAXN; } } return sum.change(sum); } }; int main() { int n; while (scanf("%d", &n) == 1) { bign sum = 1; for (int i = 2; i <= n; i++) { bign now = i; sum = sum * now; } sum.put(); printf("\n"); } return 0; }
补充:软件开发 , C++ ,