1. Cele mai mari 2 elemente #include <iostream> #include <climits> using namespace std; int main() { int n,i,max1,max2; cout<<"n=”;cin>>n; int v[n+1]; max1=max2=INT_MIN; for (i=1;i<=n;++i) { cout<<"v["<<i<<"]=”; cin>>v[i]; } for(i=1;i<=n;++i) { if(v[i]>max1) {max2=max1;max1=v[i];} else if (v[i]>max2) max2=v[i]; } cout<<"max1=”<<max1<<"\n"<<"max2=”<<max2; return 0; 2. Cele mai mari 3 elemente #include <iostream> #include <climits> using namespace std; int main() { int n,i,max1,max2,max3; cout<<"n=”;cin>>n; int v[n+1]; max1=max2=max3=INT_MIN; for (i=1;i<=n;++i) { cout<<"v["<<i<<"]=”; cin>>v[i]; } for (i=1;i<=n;++i) { if (v[i]>max1) {max3=max2;max2=max1;max1=v[i];} else if (v[i]>max2) {max3=max2;max2=v[i];} else if (v[i]>max3) max3=v[i]; } cout<<"max1=”<<max1<<"\n”<<"max2=”<<max2<<"\n”<<"max3=”<<max3; return 0; } 3. Cele mai mari 4 elemente #include <iostream> #include <climits> using namespace std; int main() { int n,i,max1,max2,max3,max4; cout<<"n=”;cin>>n; int v[n+1]; max1=max2=max3=max4=INT_MIN; for (i=1;i<=n;++i) { cout<<"v["<<i<<"]=”; cin>>v[i]; } for (i=1;i<=n;++i) { if (v[i]>max1) {max4=max3;max3=max2;max2=max1;max1=v[i];} else if (v[i]>max2) {max4=max3;max3=max2;max2=v[i];} else if (v[i]>max3) {max4=max3;max3=v[i];} else if (v[i]>max4) max4=v[i] ; } cout<<"max1=”<<max1<<"\n”<<"max2=”<<max2<<"\n”<<"max3=”<<max3<<"\n"<<"max4=”<<max4; return 0; } 4. Cele mai mici 2 elemente #include <iostream> #include <climits> using namespace std; int main() { int n,i,min1,min2; cout<<"n=”;cin>>n; int v[n+1]; min1=min2=INT_MAX; for (i=1;i<=n;++i) { cout<<"v["<<i<<"]=”; cin>>v[i]; } for(i=1;i<=n;++i) { if(v[i]<min1) {min2=min1;min1=v[i];} else if (v[i]<min2) min2=v[i]; } cout<<"min1=”<<min1<<"\n"<<"min2=”<<min2; return 0; } 5. Cele mai mici 3 elemente #include <iostream> #include <climits> using namespace std; int main() { int n,i,min1,min2,min3; cout<<"n=”;cin>>n; int v[n+1]; min1=min2=min3=INT_MAX; for (i=1;i<=n;++i) { cout<<"v["<<i<<"]=”;cin>>v[i]; } for (i=1;i<=n;++i) { if (v[i]<min1) {min3=min2;min2=min1;min1=v[i];} else if (v[i]<min2) {min3=min2;min2=v[i];} else if (v[i]<min3) min3=v[i]; } cout<<"min1=”<<min1<<"\n”<<"min2=”<<min2<<"\n”<<"min3=”<<min3; return 0; } 6. Cele mai mici 4 elemente #include <iostream> #include <climits> using namespace std; int main() { int n,i,min1,min2,min3,min4; cout<<"n=”;cin>>n; int v[n+1]; min1=min2=min3=min4=INT_MAX; for (i=1;i<=n;++i) { cout<<"v["<<i<<"]=”; cin>>v[i]; } for (i=1;i<=n;++i) { if (v[i]<min1) {min4=min3;min3=min2;min2=min1;min1=v[i];} else if (v[i]<min2) {min4=min3;min3=min2;min2=v[i];} else if (v[i]<min3) {min4=min3;min3=v[i];} else if (v[i]<min4) min4=v[i] ; } cout<<"min1=”<<min1<<"\n”<<"min2=”<<min2<<"\n”<<"min3=”<<min3<<"\n"<<"min4=”<<min4; return 0; }
Citirea si scrierea unui vector
#include <iostream> int main () { int n; cout<<"n=";cin>>n; int v[n+1] ; for (i=1;i<=n;++i) { cout<<"v["<<i<<"]="; cin>>v[i]; } for (i=1;i<=n;++i) cout<<v[i]<<" "; return 0 ; }
Descompunerea in factori primi
#include <iostream> using namespace std; int main() { int n,d,p; cout<<"n=";cin>>n; d=2; while(n!=1) { p=0; while(n%d==0) { p=p+1; n=n/d; } if(p!=0)cout<<d<<"^"<<p<<","; d=d+1; } return 0; }
Divizibilitate
1. Verificare numar prim #include <iostream> #include <cmath> using namespace std; int main () { int n,i,OK; cout<<"n=";cin>>n; OK=1; for (i=2;i<=sqrt(n)&&OK==1;i++) if(n%i==0) OK=0; if (OK==1) cout<<"DA"; else cout<<"NU"; return 0; } 2. Numar perfect #include <iostream> using namespace std; int main () { int n,i,S; cout<<"n=";cin>>n; S=0; for (i=1;i<=n/2;i++) if (n%i==0) S=S+i; if (S==n) cout<<"DA"; else cout<<"NU"; return 0; }
Cmmdc
1. Scaderi repetate include <iostream> using namespace std; int main () { int x,y; cout<<"x=";cin>>x; cout<<"y=";cin>>y; while (x!=y) { if (x>y) x=x-y; else y=y-x; } cout<<"cmmdc="<<x; return 0; } 2. Euclid include <iostream> using namespace std; int main () { int x,y,r; cout<<"x=";cin>>x; cout<<"y=";cin>>y; r=x%y; while (r!=0) { x=y; y=r; r=x%y; } cout<<"cmmdc="<<y; return 0; }
Cifrele unui numar
1. Afisare #include <iostream> using namespace std; int main () { int x,c; cout<<"x=";cin>>x; while (x!=0) { c=x%10; x=x/10; cout<<c<<"\n"; } return 0; }
2.Palindrom #include <iostream> using namespace std; int main() { int x,y,c,ogl; cout<<"x=";cin>>x; ogl=0; y=x; while (x!=0) { c=x%10; x=x/10; ogl=ogl*10+c; } if(ogl==y)cout<<"DA"; else cout<<"NU"; return 0;
3.Eliminarea unei cifre #include <iostream> using namespace std; int main() { int a,x,p,c; cout<<"a=";cin>>a; x=0; p=1; while(a!=0) { c=a%10; a=a/10; if(c%2==0) { x=x+c*p; p=p*10; } } cout<<"x="<<x; return 0; }
4.Verificare munte #include <iostream> using namespace std; int main() { int n,c,x,OK; cout<<"n=";cin>>n; x=n; OK=1; while(n>9&&n%10<n/10%10) n=n/10; if(n==x||n<10) OK=0; while(n>9&&n%10>n/10%10) n=n/10; if(n>9) OK=0; if(OK==1) cout<<"DA"; else cout<<"NU"; return 0; }
Max/ Min a doua numere
1. Formula #include <iostream> #include <cmath> using namespace std; int main() { int a,b,max; cout<<"a=";cin>>a; cout<<"b=";cin>>b; max=(a+b+abs(a-b))/2; cout<<"max="<<max; return 0; }
#include <iostream> #include <cmath> using namespace std; int main() { int a,b,min; cout<<"a=";cin>>a; cout<<"b=";cin>>b; min=(a+b-abs(a-b))/2; cout<<"min="<<min; return 0; }
2. Instructiunea "if" #include <iostream> using namespace std; int main() { int a,b,max; cout<<"a=";cin>>a; cout<<"b=";cin>>b; max=a; if (b>max) max=b; cout<<"max="<<max; return 0; }
#include <iostream> using namespace std; int main() { int a,b,min; cout<<"a=";cin>>a; cout<<"b=";cin>>b; min=a; if (b<min) min=b; cout<<"min="<<min; return 0; }
Algoritmul de interschimbare
#include <iostream>
using namespace std;
int main()
{
int a,b,x;
cout<<“a=”;cin>>a;
cout<<“b=”;cin>>b;
x=a;
a=b;
b=x;
cout<<“a=”<<a<<“\n”;
cout<<“b=”<<b<<“\n”;
return 0;
}