【洛谷,转载】来自洛谷一位大佬的博客:P1001 【A+B Problem 】
这题是洛谷的经典啊……
这里给出一些比较基础的A+B方法
SPFA:
#include<cstdio> using namespace std; int n,m,a,b,op,head[200009],next[200009],dis[200009],len[200009],v[200009],l,r,team[200009],pd[100009],u,v1,e; int lt(int x,int y,int z) { op++,v[op]=y; next[op]=head[x],head[x]=op,len[op]=z; } int SPFA(int s,int f)//SPFA…… { for(int i=1;i<=200009;i++){dis[i]=999999999;} l=0,r=1,team[1]=s,pd[s]=1,dis[s]=0; while(l!=r) { l=(l+1)%90000,u=team[l],pd[u]=0,e=head[u]; while(e!=0) { v1=v[e]; if(dis[v1]>dis[u]+len[e]) { dis[v1]=dis[u]+len[e]; if(!pd[v1]) { r=(r+1)%90000, team[r]=v1, pd[v1]=1; } } e=next[e]; } } return dis[f]; } int main() { scanf("%d%d",&a,&b); lt(1,2,a);lt(2,3,b);//1到2为a,2到3为b,1到3即为a+b…… printf("%d",SPFA(1,3)); return 0; }
Floyd:
#include<iostream> #include<cstring> using namespace std; long long n=3,a,b,dis[4][4]; int main() { cin>>a>>b; for(int i=1;i<=n;i++) { for(int j=1;j<=n;j++) { dis[i][j]=2147483647; } } dis[1][2]=a,dis[2][3]=b; for(int k=1;k<=n;k++) { for(int i=1;i<=n;i++) { for(int j=1;j<=n;j++) { dis[i][j]=min(dis[i][j],dis[i][k]+dis[k][j]);//Floyd…… } } } cout<<dis[1][3]; }
递归:
#include<iostream> using namespace std; long long a,b,c; long long dg(long long a) { if(a<=5){return a;}//防超时…… return (dg(a/2)+dg(a-a/2)); } int main() { cin>>a>>b; c=dg(a)+dg(b); cout<<c; }
高精:
#include<iostream> #include<cstring> using namespace std; int main() { char a1[1000],b1[1000]; int a[1000]={0},b[1000]={0},c[1000]={0},la,lb,lc,i,x; cin>>a1>>b1; la=strlen(a1); lb=strlen(b1); for(i=0;i<=la-1;i++){a[la-i]=a1[i]-48;} for(i=0;i<=lb-1;i++){b[lb-i]=b1[i]-48;} lc=1,x=0; while(lc<=la||lc<=lb){c[lc]=a[lc]+b[lc]+x,x=c[lc]/10,c[lc]%=10,lc++;} c[lc]=x; if(c[lc]==0){lc--;} for(i=lc;i>=1;i--){cout<<c[i];} cout<<endl; return 0; }
压位高精:
#include <cstdio> #include <cstring> #include <cstdlib> #include <iostream> #define p 8 #define carry 100000000 using namespace std; const int Maxn=50001; char s1[Maxn],s2[Maxn]; int a[Maxn],b[Maxn],ans[Maxn]; int change(char s[],int n[]) { char temp[Maxn]; int len=strlen(s+1),cur=0; while(len/p) { strncpy(temp,s+len-p+1,p); n[++cur]=atoi(temp); len-=p; } if(len) { memset(temp,0,sizeof(temp)); strncpy(temp,s+1,len); n[++cur]=atoi(temp); } return cur; } int add(int a[],int b[],int c[],int l1,int l2) { int x=0,l3=max(l1,l2); for(int i=1;i<=l3;i++) { c[i]=a[i]+b[i]+x; x=c[i]/carry; c[i]%=carry; } while(x>0){c[++l3]=x%10;x/=10;} return l3; } void print(int a[],int len) { printf("%d",a[len]); for(int i=len-1;i>=1;i--)printf("%0*d",p,a[i]); printf("\n"); } int main() { scanf("%s%s",s1+1,s2+1); int la=change(s1,a); int lb=change(s2,b); int len=add(a,b,ans,la,lb); print(ans,len); }
还有我自己的(YMY)—— BIGNUM:
#include<bits/stdc++.h> using namespace std; const int maxn = 20000; struct bign{ int len, s[maxn]; bign() { memset(s, 0, sizeof(s)); len = 1; } bign(int num) { *this = num; } bign(const char* num) { *this = num; } bign operator = (int num) { char s[maxn]; sprintf(s, "%d", num); *this = s; return *this; } string str() const { string res = ""; for(int i = 0; i < len; i++) res = (char)(s[i] + '0') + res; if(res == "") res = "0"; return res; } void clean() { while(len > 1 && !s[len-1]) len--; } bign operator = (const char* num) { len = strlen(num); for(int i = 0; i < len; i++) s[i] = num[len-i-1] - '0'; return *this; } bign operator + (const bign& b) const{ bign c; c.len = 0; for(int i = 0, g = 0; g || i < max(len, b.len); i++) { int x = g; if(i < len) x += s[i]; if(i < b.len) x += b.s[i]; c.s[c.len++] = x % 10; g = x / 10; } return c; } bign operator * (const bign& b) { bign c; c.len = len + b.len; for(int i = 0; i < len; i++) for(int j = 0; j < b.len; j++) c.s[i+j] += s[i] * b.s[j]; for(int i = 0; i < c.len-1; i++){ c.s[i+1] += c.s[i] / 10; c.s[i] %= 10; } c.clean(); return c; } bign operator - (const bign& b) { bign c; c.len = 0; for(int i = 0, g = 0; i < len; i++) { int x = s[i] - g; if(i < b.len) x -= b.s[i]; if(x >= 0) g = 0; else { g = 1; x += 10; } c.s[c.len++] = x; } c.clean(); return c; } bool operator < (const bign& b) const{ if(len != b.len) return len < b.len; for(int i = len-1; i >= 0; i--) if(s[i] != b.s[i]) return s[i] < b.s[i]; return false; } bool operator > (const bign& b) const{ return b < *this; } bool operator <= (const bign& b) { return !(b > *this); } bool operator == (const bign& b) { return !(b < *this) && !(*this < b); } bign operator += (const bign& b) { *this = *this + b; return *this; } }; istream& operator >> (istream &in, bign& x) { string s; in >> s; x = s.c_str(); return in; } ostream& operator << (ostream &out, const bign& x) { out << x.str(); return out; } int main() { bign a,b; cin>>a>>b; cout<<a+b<<endl; return 0; }