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41 lines
1.1 KiB
C++
41 lines
1.1 KiB
C++
#define _CRT_SECURE_NO_WARNINGS
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#define _SILENCE_CXX17_C_HEADER_DEPRECATION_WARNING
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#include <bits/stdc++.h>
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using namespace std;
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#define CRP(t, x) const t &x
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#define OPL(t, x) bool operator<(CRP(t, x)) const
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#define FIL(x, v) memset(x, v, sizeof(x))
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#define CLR(x) FIL(x, 0)
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#define NE1(x) FIL(x, -1)
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#define INF(x) FIL(x, 0x3f)
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#ifndef _DEBUG
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#define _DEBUG 0
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#endif // !_DEBUG
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#define IFD if (_DEBUG)
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typedef long long ll, i64;
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ll gcd(ll a, ll b) { return b == 0 ? a : gcd(b, a % b); }
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const int N = 4e5 + 50, M = 1e6 + 60;
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ll a[N];
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int primes[N], pcnt;
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bool notPrime[M];
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int main()
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{
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for (ll i = 2; i < M; i++)
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if (!notPrime[i] && (primes[pcnt++] = i))
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for (ll j = i * i; j < M; j += i)
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notPrime[j] = true;
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int n;
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scanf("%d", &n);
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for (int i = 0; i < n; i++) scanf("%lld", a + i);
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ll g = *a;
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for (int i = 1; i < n; i++) g = gcd(g, a[i]);
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ll ans = 1, cur = 0;
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for (int i = 0; i < pcnt && g > 1; i++)
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{
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cur = 0;
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for (; g % primes[i] == 0; g /= primes[i]) cur++;
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ans *= cur + 1;
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}
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printf("%lld", ans);
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return 0;
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} |