【openjudge 计算概论（A）】[基础编程练习（运算成分）]

01:鸡尾酒疗法

#include<cstdio>#include<cstring>#include<algorithm>using namespace std;const double eps=0.05;int n,x,y;int main(){scanf("%d%d%d",&n,&x,&y);double p=(double)y/x;for(int i=1;i<n;++i) { int x,y; scanf("%d%d",&x,&y); double sum=(double)y/x; if(sum-p>eps) printf("better\n");  else    if(p-sum>eps) printf("worse\n");    else printf("same\n"); }return 0;}

02:求出e的值

#include<cstdio>#include<cstring>#include<algorithm>#define ll long longusing namespace std;ll mi[20];int n;int main(){int i,j;scanf("%d",&n);mi[1]=1;for(i=2;i<=n;++i) mi[i]=mi[i-1]*i;double ans=1;for(i=1;i<=n;++i) ans+=(double)1/mi[i];printf("%.10lf\n",ans);return 0;}

03:球弹跳高度的计算（等比数列）

#include<cstdio>#include<cstring>#include<algorithm>using namespace std;double ans,n;int main(){int i;scanf("%lf",&n);ans=n;i=9;double last=n;while(i--) { ans+=n; n/=2;  }n/=2;printf("%g %g\n",ans,n);return 0;}

04:求分数序列和

#include<cstdio>using namespace std;double ans,a[1100],b[1100];int n;int main(){scanf("%d",&n);a[1]=2.0; a[2]=3.0;b[1]=1.0; b[2]=2.0;for(int i=3;i<=n;++i) a[i]=a[i-1]+a[i-2],b[i]=b[i-1]+b[i-2];for(int i=1;i<=n;++i) ans+=(a[i]/b[i]);printf("%.4lf\n",ans);return 0;}

06:角谷猜想

#include<cstdio>#include<cstring>#include<iostream>using namespace std;int x;void pract(int x){    if(x==1)      {printf("End\n"); return;}    if (x%2)        {int a=x*3+1; printf("%d*3+1=%d\n",x,a); pract(a);}     else        {int a=x/2; printf("%d/2=%d\n",x,a); pract(a);}    return;}int main(){ scanf("%d",&x); pract(x); return 0;}

07:分数求和

#include<cstdio>#include<cstring>#include<algorithm>using namespace std;int fm[20],fz[20],n,lcm,sum;int gcd(int a,int b){ if (!(a%b)) return b;  else return gcd(b,a%b);}int main(){  int i,j;  scanf("%d",&n);  for (i=1;i<=n;++i)   {     char c;     scanf("%d%c%d",&fz[i],&c,&fm[i]);   }  lcm=fm[1];  for (i=2;i<=n;++i) lcm=lcm*fm[i]/gcd(lcm,fm[i]);  for (i=1;i<=n;++i)   {    int sm=fz[i]*(lcm/fm[i]);    sum+=sm;   }  if (!(sum%lcm)) {printf("%d\n",sum/lcm); return 0;}  int ans=gcd(lcm,sum);  sum/=ans; lcm/=ans;  printf("%d/%d",sum,lcm);  return 0;}

08:人民币支付

#include<cstdio>using namespace std;int main(){int n;scanf("%d",&n);printf("%d\n",n/100);n%=100;printf("%d\n",n/50);n%=50;printf("%d\n",n/20);n%=20;printf("%d\n",n/10);n%=10;printf("%d\n",n/5);n%=5;printf("%d\n",n);return 0;}

09:年龄与疾病

#include<cstdio>#include<cstring>#include<algorithm>using namespace std;int age[110];int n,num[5];int main(){scanf("%d",&n);for(int i=1;i<=n;++i)  { int x; scanf("%d",&x); if(x>=1&&x<=18) num[1]++; if(x>=19&&x<=35) num[2]++; if(x>35&&x<=60) num[3]++; if(x>60) num[4]++; }    printf("1-18: %.2lf%%\n",(double)num[1]/(double)n*(100.0));    printf("19-35: %.2lf%%\n",(double)num[2]/(double)n*(100.0));    printf("36-60: %.2lf%%\n",(double)num[3]/(double)n*(100.0));    printf("60-: %.2lf%%\n",(double)num[4]/(double)n*(100.0));    return 0;}

10:求特殊自然数

#include<cstdio>#include<cstring>#include<algorithm>using namespace std;int a[5],b[5],opt;inline bool check(){for(int i=1;i<=3;++i) if(a[i]!=b[i]) return 0;return 1;}int main(){int i;scanf("%d",&opt);for(i=81;i<=342;++i) {    int x=i,y=i;    a[1]=x%9; x/=9;    a[2]=x%9; x/=9;    a[3]=x%9; x/=9;    b[3]=y%7; y/=7;    b[2]=y%7; y/=7;    b[1]=y%7; y/=7;    if(check()) break; }if(opt==1) printf("%d\n",i);if(opt==2) printf("%d%d%d\n",b[1],b[2],b[3]);if(opt==3) printf("%d%d%d\n",a[3],a[2],a[1]);return 0;}