題目連結:here題目大意:
n 塊錢 如何由 1-k 塊錢組合起來的方法。。
分析:
完全背包。。但是注意高精度。。
代碼:java:
import java.math.BigInteger;import java.util.Arrays;import java.util.Scanner;public class poj3181dp {final static int maxn = 1005;public static void main(String[] args) {Scanner cin = new Scanner(System.in);while (cin.hasNext()){int n, k;n = cin.nextInt();k = cin.nextInt();BigInteger[] dp = new BigInteger[maxn];Arrays.fill(dp, BigInteger.ZERO);dp[0] = BigInteger.ONE;for (int i=1; i<=k; i++)for (int j=0; i+j<=n; j++)dp[i+j] = dp[i+j].add(dp[j]);System.out.println(dp[n]);}}}
C++:
#include <cstdio>#include <iostream>using namespace std;const int maxn = 1100;__int64 a[maxn], b[maxn], inf;int n, k;int main(){int i, j;inf = 1;for (i=0; i<18; i++)inf *= 10;scanf("%d %d", &n, &k);memset(a, 0, sizeof(a));memset(b, 0, sizeof(b));a[0] = 1;for (i=1; i<=k; i++)for (j=1; j<=n; j++){if (j < i) continue;b[j] = b[j] + b[j-i] + (a[j] + a[j-i]) / inf;a[j] = (a[j] + a[j-i]) % inf;}if (b[n]) printf("%I64d", b[n]);printf("%I64d\n", a[n]);return 0;}