Inleiding tot de Fibonacci-serie in C ++

Fibonacci-serie is een reeks getallen. Het maakt de reeks getallen de laatste twee getallen optellen. Het berekenen van de Fibonacci-serie is eenvoudig, omdat we alleen de laatste twee cijfers moeten toevoegen om een ​​ander cijfer te krijgen. Maar op een bepaald moment wanneer het aantal cijfers groot wordt, wordt het behoorlijk complex. Dus om dit probleem op te lossen, gaan we kijken hoe we een Fibonacci-serieprogramma in de C ++ -taal kunnen maken, zodat het gemakkelijk wordt. Laten we eens kijken hoe de Fibonacci-serie eigenlijk werkt.

Laat f (n) de nde term zijn.

f (0) = 0;

f (1) = 1;

Serie is als volgt:

1 (1 + 0)

2 (1 + 1)

3 (1 + 2)

5 (2 + 3)

8 (3 + 5)

13 (5 + 8)

21 (8 + 13

…enzovoorts

De logica achter het genereren van Fibonacci-series

  1. Initialiseer het eerste nummer op 0
  2. Initialiseer het tweede nummer naar 1
  3. Voeg het eerste en tweede nummer toe.
  4. Sla de waarde van het toevoegen van het derde nummer op.
  5. Druk het derde nummer af.
  6. Wijs het tweede nummer toe aan het eerste nummer
  7. Wijs het derde nummer toe aan het tweede nummer.
  8. Herhaal stap 3 tot stap 7 totdat de Fibonacci-reeks voor een bepaald aantal is berekend.

Fibonacci-serieprogramma's in C ++

In deze sectie gaan we kijken hoe we de Fibonacci-serie kunnen ontdekken met behulp van verschillende methoden zoals recursie, lus, array, zonder recursie, enz:

1. Zonder de recursiemethode

Code:

#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;
)

Output:

2. Door de recursiemethode te gebruiken

Code:

#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;
)

Output:

3. Gebruik een For-lus

Code:

#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;
)

Output:

4. Door While Loop te gebruiken

Code:

#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;
)

Output:

5. Een array gebruiken

Code:

#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;
)

Output:

6. Fibonacci-serieprogramma in C ++ met een gespecificeerd nummer

Code:

#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;
)

Output:

Conclusie

In dit artikel hebben we gezien hoe we de Fibonacci-serie in C ++ -taal kunnen genereren met behulp van verschillende methoden. Ik hoop dat je dit artikel nuttig zult vinden.

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