#930592 (C++17) No.2570 最大最大公約数

提出ソース

結果

問題	No.2570 最大最大公約数
ユーザー	👑 deuteridayo
提出日時	2023-11-23 17:57:13
言語	C++17 (gcc 12.3.0 + boost 1.83.0)
結果	AC
実行時間	53 ms / 2,000 ms
コード長	5,371 bytes
コンパイル時間	4,760 ms
コンパイル使用メモリ	266,772 KB
実行使用メモリ	6,676 KB
最終ジャッジ日時	2023-11-23 17:57:39
合計ジャッジ時間	6,815 ms
ジャッジサーバーID （参考情報）	judge15 / judge11

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テストケース

テストケース表示

入力	結果	実行時間実行使用メモリ
testcase_00	AC	42 ms 6,676 KB
testcase_01	AC	45 ms 6,676 KB
testcase_02	AC	53 ms 6,676 KB
testcase_03	AC	23 ms 6,676 KB
testcase_04	AC	39 ms 6,676 KB
testcase_05	AC	38 ms 6,676 KB
testcase_06	AC	42 ms 6,676 KB
testcase_07	AC	41 ms 6,676 KB
testcase_08	AC	41 ms 6,676 KB
testcase_09	AC	39 ms 6,676 KB
testcase_10	AC	39 ms 6,676 KB
testcase_11	AC	39 ms 6,676 KB
testcase_12	AC	43 ms 6,676 KB
testcase_13	AC	42 ms 6,676 KB
testcase_14	AC	34 ms 6,676 KB
testcase_15	AC	34 ms 6,676 KB
testcase_16	AC	29 ms 6,676 KB
testcase_17	AC	3 ms 6,676 KB
testcase_18	AC	3 ms 6,676 KB
testcase_19	AC	3 ms 6,676 KB
testcase_20	AC	2 ms 6,676 KB
testcase_21	AC	4 ms 6,676 KB
testcase_22	AC	3 ms 6,676 KB
testcase_23	AC	2 ms 6,676 KB
testcase_24	AC	4 ms 6,676 KB
testcase_25	AC	3 ms 6,676 KB
testcase_26	AC	3 ms 6,676 KB
testcase_27	AC	3 ms 6,676 KB

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ソースコード

raw source code

#include<bits/stdc++.h>
#include<atcoder/all>
using namespace std;
using namespace atcoder;
using lint = long long;
using ulint = unsigned long long;
using llint = __int128_t;
#define endl '\n'
int const INF = 1<<30;
lint const INF64 = 1LL<<61;
lint const mod107 = 1e9+7;
using mint107 = modint1000000007;
long const mod = 998244353;
using mint = modint998244353;
lint ceilDiv(lint x, lint y){if(x >= 0){return (x+y-1)/y;}else{return x/y;}}
lint floorDiv(lint x, lint y){if(x >= 0){return x/y;}else{return (x-y+1)/y;}}
lint Sqrt(lint x) {assert(x >= 0); lint ans = sqrt(x); while(ans*ans > x)ans--; while((ans+1)*(ans+1)<=x)ans++; return ans;}
lint gcd(lint a,lint b){if(a<b)swap(a,b);if(a%b==0)return b;else return gcd(b,a%b);}
lint lcm(lint a,lint b){return (a / gcd(a,b)) * b;}
lint chmin(vector<lint>&v){lint ans = INF64;for(lint i:v){ans = min(ans, i);}return ans;}
lint chmax(vector<lint>&v){lint ans = -INF64;for(lint i:v){ans = max(ans, i);}return ans;}
double dist(double x1, double y1, double x2, double y2){return sqrt(pow(x1-x2, 2) + pow(y1-y2,2));}
string toString(lint n){string ans = "";if(n == 0){ans += "0";}else{while(n > 0){int a = n%10;char b = '0' + a;string c = "";c += b;n /= 10;ans = c + ans;}}return ans;}
string toString(lint n, lint k){string ans = toString(n);string tmp = "";while(ans.length() + tmp.length() < k){tmp += "0";}return tmp + ans;}
vector<lint>prime;void makePrime(lint n){prime.push_back(2);for(lint i=3;i<=n;i+=2){bool chk = true;for(lint j=0;j<prime.size() && prime[j]*prime[j] <= i;j++){if(i % prime[j]==0){chk=false;break;}}if(chk)prime.push_back(i);}}
lint Kai[20000001]; bool firstCallnCr = true; 
lint ncrmodp(lint n,lint r,lint p){ if(firstCallnCr){ Kai[0] = 1; for(int i=1;i<=20000000;i++){ Kai[i] = Kai[i-1] * i; Kai[i] %= p;} firstCallnCr = false;} if(n<0)return 0;
if(n < r)return 0;if(n==0)return 1;lint ans = Kai[n];lint tmp = (Kai[r] * Kai[n-r]) % p;for(lint i=1;i<=p-2;i*=2){if(i & p-2){ans *= tmp;ans %= p;}tmp *= tmp;tmp %= p;}return ans;}
#define rep(i, n) for(int i = 0; i < n; i++)
#define repp(i, x, y) for(int i = x; i < y; i++)
#define vec vector
#define pb push_back
#define se second
#define fi first
#define all(x) x.begin(),x.end()
#define rall(x) x.rbegin(),x.rend()
unsigned long Rand() {
  static unsigned long x=123456789, y=362436069, z=521288629, w=88675123;
  unsigned long t=(x^(x<<11));
  x=y; y=z; z=w;
  return ( w=(w^(w>>19))^(t^(t>>8)) );
}
struct Point {
    lint x, y;
    int quad;
    Point(lint X, lint Y) {
        x = X;
        y = Y;
        quad = getQuadrant();
    }
    int getQuadrant() {
        if(x >= 0) {
            if(y >= 0) return 1;
            else return 4;
        } else {
            if(y >= 0) return 2;
            else return 3;
        }
    }
};

bool operator<(const Point &left, const Point &right) {
    if(left.quad == right.quad) {
        return left.y * right.x < left.x * right.y;
    } else {
        return left.quad < right.quad;
    }
}

struct Frac {
    lint upper, lower;
    Frac() {
        Frac(0,1);
    }
    Frac(lint u, lint l) {
        assert(l != 0);
        if(u <= 0 && l < 0) {
            upper = -u;
            lower = -l;
        } else {
            upper = u;
            lower = l;
        }
        reduction();
    }

    Frac(lint u) {
        upper = u;
        lower = 1;
    } 

    void reduction() {
        if(upper != 0) {
            lint g = gcd(abs(upper), abs(lower));
            upper /= g;
            lower /= g;
        
            if(lower < 0) {
                lower *= -1;
                upper *= -1;
            }
        } else {
            lower = 1;
        }
    }

    Frac operator+(const Frac &other) {
        lint L = lower * other.lower;
        lint U = upper*other.lower + lower*other.upper;
        return Frac(U, L);
    }

    Frac operator-(const Frac &other) {
        lint L = lower * other.lower;
        lint U = upper*other.lower - lower*other.upper;
        upper = U;
        lower = L;
        return Frac(U, L);
    }

    bool operator<=(const Frac &other) {
        return upper*other.lower <= lower*other.upper;
    }

    Frac operator*(const Frac &other) {
        lint L = lower * other.lower;
        lint U = upper * other.upper;
        return Frac(U, L);
    }

    Frac operator/(const Frac &other) {
        assert(other.upper != 0);
        lint L = lower * other.upper;
        lint U = upper * other.lower;
        return Frac(U, L);
    }
};

bool operator<(const Frac &left, const Frac &right) {
    return left.upper*right.lower < left.lower*right.upper;
}
lint extGCD(lint a, lint b, lint &x, lint &y) {
    if (b == 0) {
        x = 1;
        y = 0;
        return a;
    }
    lint d = extGCD(b, a%b, y, x);
    y -= a/b * x;
    return d;
}
struct edge{
    int to;
};
using graph = vector<vector<edge>>;

int main(){
    int n,k;
    cin >> n >> k;
    lint a[n];
    lint ans = 0;
    rep(i, n) {
        cin >> a[i];
    }
    vec<lint>S;
    rep(i, n) {
        for(lint j = 1; j*j <= a[i]; j++) {
            if(a[i]%j == 0) {
                S.pb(j);
                S.pb(a[i]/j);
            }
        }
    }

    
    for(auto s : S) {
        if(s == 0) continue;
        lint t = 0;
        rep(i, n) {
            t += min((a[i])%s , (s-a[i]%s)%s);
        }
        if(t <= k)ans = max(ans, s);
    }
    cout << ans << endl;

}

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