ZOJ3609 Modular Inverse

Posted 2020-06-17

1. 题目描述
求乘法逆元。

2. 基本思路
利用扩展gcd求逆元，模板题目。

3. 代码

 1 /* 3609 */
 2 #include <iostream>
 3 #include <sstream>
 4 #include <string>
 5 #include <map>
 6 #include <queue>
 7 #include <set>
 8 #include <stack>
 9 #include <vector>
10 #include <deque>
11 #include <bitset>
12 #include <algorithm>
13 #include <cstdio>
14 #include <cmath>
15 #include <ctime>
16 #include <cstring>
17 #include <climits>
18 #include <cctype>
19 #include <cassert>
20 #include <functional>
21 #include <iterator>
22 #include <iomanip>
23 using namespace std;
24 //#pragma comment(linker,"/STACK:102400000,1024000")
25 
26 #define sti                set<int>
27 #define stpii            set<pair<int, int> >
28 #define mpii            map<int,int>
29 #define vi                vector<int>
30 #define pii                pair<int,int>
31 #define vpii            vector<pair<int,int> >
32 #define rep(i, a, n)     for (int i=a;i<n;++i)
33 #define per(i, a, n)     for (int i=n-1;i>=a;--i)
34 #define clr                clear
35 #define pb                 push_back
36 #define mp                 make_pair
37 #define fir                first
38 #define sec                second
39 #define all(x)             (x).begin(),(x).end()
40 #define SZ(x)             ((int)(x).size())
41 #define lson            l, mid, rt<<1
42 #define rson            mid+1, r, rt<<1|1
43 
44 #define LL long long
45 
46 void egcd(LL a, LL b, LL& g, LL& x, LL& y) {
47     if (!b) {
48         g = a;
49         x = 1;
50         y = 0;
51     } else {
52         egcd(b, a%b, g, y, x);
53         y -= a/b*x;
54     }
55 }
56 
57 int inv(LL a, LL n) {
58     LL g, x, y;
59     
60     egcd(a, n, g, x, y);
61     if (g != 1)
62         return -1;
63     
64     return x%n==0 ? n:(x%n+n)%n;
65 }
66 
67 int main() {
68     ios::sync_with_stdio(false);
69     #ifndef ONLINE_JUDGE
70         freopen("data.in", "r", stdin);
71         freopen("data.out", "w", stdout);
72     #endif
73     
74     int t;
75     LL a, m;
76     LL ans;
77     
78     scanf("%d", &t);
79     while (t--) {
80         scanf("%lld%lld", &a, &m);
81         ans = inv(a, m);
82         if (ans == -1) {
83             puts ("Not Exist");
84         } else {
85             printf("%lld\n", ans);
86         }
87     }
88     
89     #ifndef ONLINE_JUDGE
90         printf("time = %d.\n", (int)clock());
91     #endif
92     
93     return 0;
94 }

4. 代码生成器

 1 import sys
 2 import string
 3 from random import randint
 4 
 5     
 6 def GenData(fileName):
 7     with open(fileName, "w") as fout:
 8         t = 1000
 9         fout.write("%d\n" % (t))
10         for tt in xrange(t):
11             n = randint(1, 1000)
12             m = randint(1, 1000)
13             fout.write("%d %d\n" % (n, m))
14                 
15         
16 def MovData(srcFileName, desFileName):
17     with open(srcFileName, "r") as fin:
18         lines = fin.readlines()
19     with open(desFileName, "w") as fout:
20         fout.write("".join(lines))
21 
22         
23 def CompData():
24     print "comp"
25     srcFileName = "F:\Qt_prj\hdoj\data.out"
26     desFileName = "F:\workspace\cpp_hdoj\data.out"
27     srcLines = []
28     desLines = []
29     with open(srcFileName, "r") as fin:
30         srcLines = fin.readlines()
31     with open(desFileName, "r") as fin:
32         desLines = fin.readlines()
33     n = min(len(srcLines), len(desLines))-1
34     for i in xrange(n):
35         ans2 = int(desLines[i])
36         ans1 = int(srcLines[i])
37         if ans1 > ans2:
38             print "%d: wrong" % i
39 
40             
41 if __name__ == "__main__":
42     srcFileName = "F:\Qt_prj\hdoj\data.in"
43     desFileName = "F:\workspace\cpp_hdoj\data.in"
44     GenData(srcFileName)
45     MovData(srcFileName, desFileName)
46     
47