Johdanto C ++: n Fibonacci-sarjaan

Fibonacci-sarja on numerosarja. Se muodostaa numeroketjun lisäämällä kaksi viimeistä numeroa. Fibonacci-sarjan laskeminen on helppoa, koska meidän täytyy vain lisätä viimeinen kaksinumeroinen saadaksemme toisen numeron. Mutta jossain vaiheessa, kun numeroiden lukumäärä muuttuu suureksi, siitä tulee melko monimutkaista. Joten tämän ongelman ratkaisemiseksi aiomme nähdä kuinka voimme luoda Fibonacci-sarjan ohjelman C ++ -kielellä niin, että siitä tulee helppoa. Katsotaanpa kuinka Fibonacci-sarja todella toimii.

Olkoon f (n) n. Termi.

f (0) = 0;

f (1) = 1;

Sarja on seuraava:

1 (1 + 0)

2 (1 + 1)

3 (1 + 2)

5 (2 + 3)

8 (3 + 5)

13 (5 + 8)

21 (8 + 13

…ja niin edelleen

Fibonacci-sarjan tuottamisen logiikka

  1. Alusta ensimmäinen numero nollaan
  2. Alusta toinen numero yhdeksi
  3. Lisää ensimmäinen ja toinen numero.
  4. Tallenna lisäyksen arvo kolmanteen numeroon.
  5. Tulosta kolmas numero.
  6. Anna toinen numero ensimmäiselle numerolle
  7. Assange kolmas numero toiseen numeroon.
  8. Toista vaiheet 3 - 7, kunnes tietyn luvun Fibonacci-sarja lasketaan.

Fibonacci-sarjan ohjelmat C ++: ssa

Tässä osiossa tarkastellaan kuinka selvittää Fibonacci-sarja käyttämällä erilaisia ​​menetelmiä, kuten rekursio, silmukka, taulukko, ilman rekursiota jne.:

1. Ilman rekursiomenetelmää

Koodi:

#include
using namespace std;
int main()
(
int first_num = 0, second_num = 1, third_num, i, num;
cout << "Enter random number to print fibonacci series:";
cin >> num;
cout << "Fibonacci Series for a given number:" < cout << first_num < cout << second_num << endl;
for(i = 2; i < num; ++i) //loop will starts from 2 because we have printed 0 and 1 before
(
third_num = first_num + second_num;
cout << third_num << endl;
first_num = second_num;
second_num = third_num;
)
return 0;
) #include
using namespace std;
int main()
(
int first_num = 0, second_num = 1, third_num, i, num;
cout << "Enter random number to print fibonacci series:";
cin >> num;
cout << "Fibonacci Series for a given number:" < cout << first_num < cout << second_num << endl;
for(i = 2; i < num; ++i) //loop will starts from 2 because we have printed 0 and 1 before
(
third_num = first_num + second_num;
cout << third_num << endl;
first_num = second_num;
second_num = third_num;
)
return 0;
) #include
using namespace std;
int main()
(
int first_num = 0, second_num = 1, third_num, i, num;
cout << "Enter random number to print fibonacci series:";
cin >> num;
cout << "Fibonacci Series for a given number:" < cout << first_num < cout << second_num << endl;
for(i = 2; i < num; ++i) //loop will starts from 2 because we have printed 0 and 1 before
(
third_num = first_num + second_num;
cout << third_num << endl;
first_num = second_num;
second_num = third_num;
)
return 0;
)

lähtö:

2. Käyttämällä rekursiomenetelmää

Koodi:

#include
using namespace std;
void FibonacciSeries(int num)
(
static int first_num = 0, second_num = 1, third_num;
if(num > 0)
(
third_num = first_num + second_num;
first_num = second_num;
second_num = third_num;
cout << third_num << endl;
FibonacciSeries(num - 1);
)
)
int main()
(
int num;
cout << "Enter random number to print fibonacci series:";
cin >> num;
cout << "Fibonacci Series for a given number: \n" << endl;
cout << "0" << endl;
cout << "1" << endl;
FibonacciSeries (num - 2); //number-2 is used because we have already print 2 numbers
return 0;
)

lähtö:

3. For-silmukan käyttäminen

Koodi:

#include
using namespace std;
int main()
(
int first_num= 0, second_num = 1, third_num, i, num;
cout << "Enter random number to print fibonacci series:";
cin >> num;
cout << "Fibonacci Series for a given number:" < cout << first_num < cout << second_num < for(i = 0; i < num; i++) //loop will starts from 2 because we have printed 0 and 1 before
(
if(i <= 1)
third_num = i;
else
(
third_num = first_num + second_num;
cout << third_num < first_num = second_num;
second_num = third_num;
)
)
return 0;
) #include
using namespace std;
int main()
(
int first_num= 0, second_num = 1, third_num, i, num;
cout << "Enter random number to print fibonacci series:";
cin >> num;
cout << "Fibonacci Series for a given number:" < cout << first_num < cout << second_num < for(i = 0; i < num; i++) //loop will starts from 2 because we have printed 0 and 1 before
(
if(i <= 1)
third_num = i;
else
(
third_num = first_num + second_num;
cout << third_num < first_num = second_num;
second_num = third_num;
)
)
return 0;
) #include
using namespace std;
int main()
(
int first_num= 0, second_num = 1, third_num, i, num;
cout << "Enter random number to print fibonacci series:";
cin >> num;
cout << "Fibonacci Series for a given number:" < cout << first_num < cout << second_num < for(i = 0; i < num; i++) //loop will starts from 2 because we have printed 0 and 1 before
(
if(i <= 1)
third_num = i;
else
(
third_num = first_num + second_num;
cout << third_num < first_num = second_num;
second_num = third_num;
)
)
return 0;
) #include
using namespace std;
int main()
(
int first_num= 0, second_num = 1, third_num, i, num;
cout << "Enter random number to print fibonacci series:";
cin >> num;
cout << "Fibonacci Series for a given number:" < cout << first_num < cout << second_num < for(i = 0; i < num; i++) //loop will starts from 2 because we have printed 0 and 1 before
(
if(i <= 1)
third_num = i;
else
(
third_num = first_num + second_num;
cout << third_num < first_num = second_num;
second_num = third_num;
)
)
return 0;
) #include
using namespace std;
int main()
(
int first_num= 0, second_num = 1, third_num, i, num;
cout << "Enter random number to print fibonacci series:";
cin >> num;
cout << "Fibonacci Series for a given number:" < cout << first_num < cout << second_num < for(i = 0; i < num; i++) //loop will starts from 2 because we have printed 0 and 1 before
(
if(i <= 1)
third_num = i;
else
(
third_num = first_num + second_num;
cout << third_num < first_num = second_num;
second_num = third_num;
)
)
return 0;
)

lähtö:

4. Käyttämällä While Loop -sovellusta

Koodi:

#include
using namespace std;
int main()
(
int first_num = 0, second_num = 1, third_num = 0, i = 3, num;
cout << "Enter random number to print fibonacci series:" ;
cin >> num;
cout << "Fibonacci Series for a given number:" < cout << first_num < cout << second_num < while(i <= num)
(
third_num = first_num + second_num;
cout << third_num < first_num = second_num;
second_num = third_num;
i = i + 1;
)
return 0;
) #include
using namespace std;
int main()
(
int first_num = 0, second_num = 1, third_num = 0, i = 3, num;
cout << "Enter random number to print fibonacci series:" ;
cin >> num;
cout << "Fibonacci Series for a given number:" < cout << first_num < cout << second_num < while(i <= num)
(
third_num = first_num + second_num;
cout << third_num < first_num = second_num;
second_num = third_num;
i = i + 1;
)
return 0;
) #include
using namespace std;
int main()
(
int first_num = 0, second_num = 1, third_num = 0, i = 3, num;
cout << "Enter random number to print fibonacci series:" ;
cin >> num;
cout << "Fibonacci Series for a given number:" < cout << first_num < cout << second_num < while(i <= num)
(
third_num = first_num + second_num;
cout << third_num < first_num = second_num;
second_num = third_num;
i = i + 1;
)
return 0;
) #include
using namespace std;
int main()
(
int first_num = 0, second_num = 1, third_num = 0, i = 3, num;
cout << "Enter random number to print fibonacci series:" ;
cin >> num;
cout << "Fibonacci Series for a given number:" < cout << first_num < cout << second_num < while(i <= num)
(
third_num = first_num + second_num;
cout << third_num < first_num = second_num;
second_num = third_num;
i = i + 1;
)
return 0;
) #include
using namespace std;
int main()
(
int first_num = 0, second_num = 1, third_num = 0, i = 3, num;
cout << "Enter random number to print fibonacci series:" ;
cin >> num;
cout << "Fibonacci Series for a given number:" < cout << first_num < cout << second_num < while(i <= num)
(
third_num = first_num + second_num;
cout << third_num < first_num = second_num;
second_num = third_num;
i = i + 1;
)
return 0;
)

lähtö:

5. Matriisin käyttäminen

Koodi:

#include
using namespace std;
int main()
(
int fibonacci(25), i, num;
cout << "Enter random number to print fibonacci series:";
cin >> num;
fibonacci(0) = 0;
fibonacci(1) = 1;
for (i = 2; i < num; i++)
(
fibonacci(i) = fibonacci(i - 1) + fibonacci(i - 2);
)
cout <<"Fibonacci Series for a given number:" << endl;
for (i = 0; i < num; i++)
(
cout << fibonacci(i) < )
return 0;
) #include
using namespace std;
int main()
(
int fibonacci(25), i, num;
cout << "Enter random number to print fibonacci series:";
cin >> num;
fibonacci(0) = 0;
fibonacci(1) = 1;
for (i = 2; i < num; i++)
(
fibonacci(i) = fibonacci(i - 1) + fibonacci(i - 2);
)
cout <<"Fibonacci Series for a given number:" << endl;
for (i = 0; i < num; i++)
(
cout << fibonacci(i) < )
return 0;
)

lähtö:

6. Fibonacci-sarjan ohjelma C ++: ssa määriteltyä numeroa käyttämällä

Koodi:

#include
using namespace std;
int main()
(
int first_num = 0, second_num = 1, third_num, i;
cout << "Fibonacci Series for a given number:";
cout << first_num < cout << second_num < for(i = 2; i < 10; ++i) //loop will starts from 2 because we have printed 0 and 1 before
(
third_num = first_num + second_num;
cout << third_num < first_num = second_num;
second_num = third_num;
)
return 0;
) #include
using namespace std;
int main()
(
int first_num = 0, second_num = 1, third_num, i;
cout << "Fibonacci Series for a given number:";
cout << first_num < cout << second_num < for(i = 2; i < 10; ++i) //loop will starts from 2 because we have printed 0 and 1 before
(
third_num = first_num + second_num;
cout << third_num < first_num = second_num;
second_num = third_num;
)
return 0;
) #include
using namespace std;
int main()
(
int first_num = 0, second_num = 1, third_num, i;
cout << "Fibonacci Series for a given number:";
cout << first_num < cout << second_num < for(i = 2; i < 10; ++i) //loop will starts from 2 because we have printed 0 and 1 before
(
third_num = first_num + second_num;
cout << third_num < first_num = second_num;
second_num = third_num;
)
return 0;
) #include
using namespace std;
int main()
(
int first_num = 0, second_num = 1, third_num, i;
cout << "Fibonacci Series for a given number:";
cout << first_num < cout << second_num < for(i = 2; i < 10; ++i) //loop will starts from 2 because we have printed 0 and 1 before
(
third_num = first_num + second_num;
cout << third_num < first_num = second_num;
second_num = third_num;
)
return 0;
)

lähtö:

johtopäätös

Tässä artikkelissa olemme nähneet kuinka luoda Fibonacci-sarja C ++ -kielellä eri menetelmillä. Toivottavasti löydät tästä artikkelista apua.

Suositellut artikkelit

Tämä on opas Fibonacci-sarjaan C ++: ssa. Tässä keskustellaan Fibonacci-sarjan eri ohjelmista C ++: ssa. Voit myös käydä läpi muiden aiheeseen liittyvien artikkeleidemme saadaksesi lisätietoja-

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