USACO Beef McNuggets

Code

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/*
ID: wcr19961
PROG: nuggets
LANG: C++11
*/
#include <cstdio>
#include <cstring>
#include <algorithm>
#include <cstdlib>
using namespace std;
const int maxn = 12;
const int maxm = (1 << 16) + 10;
int a[maxn];
bool dp[maxm];
int gcd(int a, int b) {
return b ? gcd(b, a % b) : a;
}
int main() {
freopen("nuggets.in", "r", stdin);
freopen("nuggets.out", "w", stdout);
int n;
scanf("%d", &n);
dp[0] = true;
for (int i = 0; i < n; ++i) {
scanf("%d", &a[i]);
if (a[i] == 1) {
puts("0");
return 0;
}
for (int j = a[i]; j < maxm; ++j) {
dp[j] |= dp[j - a[i]];
}
}
for (int i = 1; i < n; ++i) {
a[i] = gcd(a[i], a[i - 1]);
}
if (a[n - 1] != 1) {
puts("0");
return 0;
}
int ans = maxm - 1;
while (dp[ans]) {
--ans;
}
printf("%d\n", ans);
return 0;
}

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