diff --git a/Project Euler/Problem 01/sol1.c b/Project Euler/Problem 01/sol1.c new file mode 100644 index 00000000..66b0672f --- /dev/null +++ b/Project Euler/Problem 01/sol1.c @@ -0,0 +1,19 @@ +/* +If we list all the natural numbers below 10 that are multiples of 3 or 5, +we get 3, 5, 6 and 9. The sum of these multiples is 23. +Find the sum of all the multiples of 3 or 5 below 1000. +*/ +#include + +int main() { + int n = 0; + int sum = 0; + scanf("%d", &n); + for (int a = 0; a < n; a++) { + if ((a % 3 == 0) || (a % 5 == 0)) { + sum += a; + } + } + + printf("%d\n", sum); +} \ No newline at end of file diff --git a/Project Euler/Problem 01/sol2.c b/Project Euler/Problem 01/sol2.c new file mode 100644 index 00000000..af1fb71e --- /dev/null +++ b/Project Euler/Problem 01/sol2.c @@ -0,0 +1,24 @@ +/* +If we list all the natural numbers below 10 that are multiples of 3 or 5, +we get 3,5,6 and 9. The sum of these multiples is 23. +Find the sum of all the multiples of 3 or 5 below N. +''' +''' +This solution is based on the pattern that the successive numbers in the series follow: 0+3,+2,+1,+3,+1,+2,+3. +*/ +#include + +int main() { + int n = 0; + int sum = 0; + scanf("%d", &n); + + int terms = (n - 1) / 3; + sum += ((terms)*(6 + (terms - 1) * 3)) / 2; //sum of an A.P. + terms = (n - 1) / 5; + sum += ((terms)*(10 + (terms - 1) * 5)) / 2; + terms = (n - 1) / 15; + sum -= ((terms)*(30 + (terms - 1) * 15)) / 2; + + printf("%d\n", sum); +} \ No newline at end of file diff --git a/Project Euler/Problem 01/sol3.c b/Project Euler/Problem 01/sol3.c new file mode 100644 index 00000000..04c12bf4 --- /dev/null +++ b/Project Euler/Problem 01/sol3.c @@ -0,0 +1,49 @@ +/* +If we list all the natural numbers below 10 that are multiples of 3 or 5, +we get 3,5,6 and 9. The sum of these multiples is 23. +Find the sum of all the multiples of 3 or 5 below N. +''' +''' +This solution is based on the pattern that the successive numbers in the series follow: 0+3,+2,+1,+3,+1,+2,+3. +*/ +#include + +int main() { + int n = 0; + int sum = 0; + int num = 0; + scanf("%d", &n); + + while (1) { + num += 3; + if (num >= n) + break; + sum += num; + num += 2; + if (num >= n) + break; + sum += num; + num += 1; + if (num >= n) + break; + sum += num; + num += 3; + if (num >= n) + break; + sum += num; + num += 1; + if (num >= n) + break; + sum += num; + num += 2; + if (num >= n) + break; + sum += num; + num += 3; + if (num >= n) + break; + sum += num; + } + + printf("%d\n", sum); +} \ No newline at end of file