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Jakob Schratter 2025-10-22 15:40:38 +02:00
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ex1C_summation_of_specified_numbers/special_sum.h
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#include <cstddef>
/**
This function returns the sum of all positive integers less or equal n which are a multiples of 3 or of 5, WITH using a loop.
@param[in] n
@param[out] M
*/
size_t special_sum_loop(size_t n);
/**
This function returns the sum of all positive integers less or equal n which are a multiples of 3 or of 5, WITHOUT using a loop.
Example: For n=15, we have 60 = 3+5+6+9+10+12+15 = (1+2+3+4+5)*3 + (1+2+3)*5 - 1*15
Formula: M = (\sum_{i=1}^{k_3} i)*3 + (\sum_{i=1}^{k_5} i)*5 - (\sum_{i=1}^{k_15} i)*15
@param[in] n
@param[out] M
*/
size_t special_sum_noloop(size_t n);