{"id":14086,"date":"2024-02-12T14:00:11","date_gmt":"2024-02-12T08:30:11","guid":{"rendered":"https:\/\/btechgeeks.com\/?p=14086"},"modified":"2024-02-13T15:53:07","modified_gmt":"2024-02-13T10:23:07","slug":"c-program-to-find-sum-of-array-elements-using-recursion","status":"publish","type":"post","link":"https:\/\/btechgeeks.com\/c-program-to-find-sum-of-array-elements-using-recursion\/","title":{"rendered":"C Program to Find Sum of Array Elements using Recursion"},"content":{"rendered":"<ul>\n<li>Write a C program to find the sum of elements of array using recursion.<\/li>\n<\/ul>\n<p>We will first take N numbers as input from user using scanf function and store it in an integer array. Now, we have to\u00a0<strong>find sum of all elements of array from index 0 to N-1 using recursion<\/strong>.<\/p>\n<h5><i>For Example<\/i><\/h5>\n<p>Input Array : 1 2 3 4 5<br \/>\nSum of Array Element : 15<\/p>\n<p><strong>Algorithm to find sum of all array elements using recursion<\/strong><br \/>\n<em><i>Let inputArray is an integer array containing N elements from index 0 to N-1 and lastIndex is an integer variable.<\/i><\/em><\/p>\n<ul>\n<li>Initialize lastIndex with the index of last element in array(lastIndex = N-1).<\/li>\n<li>We can calculate the sum of inputArray elements form index 0 to N-1 by adding sum of elements form 0 to N-2 and inputarray[N-1].<\/li>\n<li>Let getSum(inputArray, lastIndex) function calculates sum of all elements of inputArray from index 0 to lastIndex.<\/li>\n<li style=\"list-style-type: none;\">\n<ul>\n<li>inputArray[0] + inputArray[1] &#8230; inputArray[lastIndex-1] + inputArray[lastIndex] = (inputArray[0] + inputArray[1] &#8230; inputArray[lastIndex-1]) + inputArray[lastIndex]<\/li>\n<li>getSum(inputArray, N-1) = getSum(inputArray, lastIndex-1) + inputArray[lastIndex].\/li&gt;<\/li>\n<\/ul>\n<\/li>\n<li>Recursion will terminate when lastIndex &lt; 0.<\/li>\n<\/ul>\n<h3>C program to find sum of array elements using recursion<\/h3>\n<p>Below program, contains a user defined function getSum(int *inputArray, int lastIndex), which takes a pointer to an integer array and lastIndex as input and returns the sum of all elements of inputArray from index 0 to lastIndex. Function getSum calls itself recursively to calculate the sum of array form index 0 to lastIndex-1.<\/p>\n<p>For Example, Let inputArray contains 5 elements from index 0 to 4<br \/>\nTo find the sum of all elements we will call getSum function as getSum(inputArray, 4). Function getSum internally calls itself as getSum(inputArray, 3) to find sum of elements from index 0 to 3, and then it adds inputArray[4] to the result of getSum(inputArray, 3) and return.<\/p>\n<p><img loading=\"lazy\" class=\"aligncenter size-full wp-image-14087\" src=\"https:\/\/btechgeeks.com\/wp-content\/uploads\/2021\/07\/C-Program-to-Find-Sum-of-Array-Elements-using-Recursion.png\" alt=\"C Program to Find Sum of Array Elements using Recursion\" width=\"642\" height=\"800\" srcset=\"https:\/\/btechgeeks.com\/wp-content\/uploads\/2021\/07\/C-Program-to-Find-Sum-of-Array-Elements-using-Recursion.png 642w, https:\/\/btechgeeks.com\/wp-content\/uploads\/2021\/07\/C-Program-to-Find-Sum-of-Array-Elements-using-Recursion-241x300.png 241w\" sizes=\"(max-width: 642px) 100vw, 642px\" \/><\/p>\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"c\">\/*\r\n* C Program to find sum of N numbers using recursion\r\n*\/\r\n#include &lt;stdio.h&gt;\r\n#include &lt;conio.h&gt;\r\n \r\nint getSum(int *inputArray, int lastIndex);\r\n \r\nint main(){\r\n    int inputArray[100], counter, numberCount;\r\n     \r\n    printf(\"Enter number of elements in Array: \");\r\n    scanf(\"%d\", &amp;numberCount);\r\n    printf(\"Enter %d numbers \\n \", numberCount);\r\n    for(counter = 0; counter &lt; numberCount; counter++){\r\n        scanf(\"%d\", &amp;inputArray[counter]);\r\n    }\r\n     \r\n    printf(\"Sum of all numbers are : %d\",\r\n        getSum(inputArray,numberCount - 1));\r\n    getch();\r\n    return 0;\r\n}\r\n\/*\r\n * getSum(array, index) = array[index] + getSum(array, index-1);\r\n *\/\r\nint getSum(int *inputArray, int lastIndex){\r\n    int mid;\r\n    if(NULL == inputArray || lastIndex &lt; 0)\r\n        return 0;\r\n    return inputArray[lastIndex] + getSum(inputArray, lastIndex -1);\r\n}<\/pre>\n<p><strong>Program Output<\/strong><\/p>\n<pre>Enter number of elements in Array: 6\r\nEnter 6 numbers\r\n1 3 5 2 7 4\r\nSum of all numbers are : 22\r\n<\/pre>\n<h3>C program to calculate sum of an array using divide and conquer.<\/h3>\n<p><strong>Algorithm to calculate sum of array using divide and conquer<\/strong><br \/>\n<em><i>Let inputArray is an integer array of length N.<\/i><\/em><\/p>\n<ul>\n<li>Divides the inputArray into two equal half.<\/li>\n<li>Find the sum of elements of left and right half of the array recursively.<\/li>\n<li>Add the sum of both half of array to get the sum of whole array.<\/li>\n<li>getSum(inputArray, 0, N-1) = getSum(inputArray, 0, mid) + getSum(inputArray, mid+1, N-1); where mid = (N-1)\/2;<\/li>\n<li>Recursion will terminate when size of the array becomes less than 1.<\/li>\n<\/ul>\n<p>Below program uses a user defined function getSum. It calculates the sum of an array by splitting it into two sub-array and calculating the sum of each sub-array recursively. Finally it adds the sum of both sub-arrays to get the sum of original array.<\/p>\n<p>For Example, Let inputArray contains eight elements from index 0 to 7<\/p>\n<p>To find the sum of all elements we will call getSum function as getSum(inputArray, 0, 7). Function getSum internally calculates the mid index of the array as (0+7)\/2 = 3 and calls itself recursively as getSum(inputArray, 0, 3) to find sum of elements from index 0 to 3(left half of array), and getSum(inputArray, 4, 7) to find sum of elements from index 4 to 7(right half of array). Then it returns the sum of whole array by adding the sum of left and right half of the array.<\/p>\n<p><img loading=\"lazy\" class=\"aligncenter size-full wp-image-14091\" src=\"https:\/\/btechgeeks.com\/wp-content\/uploads\/2021\/07\/C-program-to-calculate-sum-of-an-array-using-divide-and-conquer-1.png\" alt=\"C program to calculate sum of an array using divide and conquer\" width=\"633\" height=\"906\" srcset=\"https:\/\/btechgeeks.com\/wp-content\/uploads\/2021\/07\/C-program-to-calculate-sum-of-an-array-using-divide-and-conquer-1.png 633w, https:\/\/btechgeeks.com\/wp-content\/uploads\/2021\/07\/C-program-to-calculate-sum-of-an-array-using-divide-and-conquer-1-210x300.png 210w\" sizes=\"(max-width: 633px) 100vw, 633px\" \/><\/p>\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"c\">\/*\r\n* C Program to find sum of N numbers using divide and conquer\r\n*\/\r\n#include &lt;stdio.h&gt;\r\n#include &lt;conio.h&gt;\r\n \r\nint main(){\r\n    int inputArray[100], counter, numberCount;\r\n     \r\n    printf(\"Enter number of elements in Array: \");\r\n    scanf(\"%d\", &amp;numberCount);\r\n    printf(\"Enter %d numbers \\n \", numberCount);\r\n    for(counter = 0; counter &lt; numberCount; counter++){\r\n        scanf(\"%d\", &amp;inputArray[counter]);\r\n    }\r\n     \r\n    printf(\"Sum of all numbers are : %d\",\r\n        getSum(inputArray, 0 ,numberCount - 1));\r\n    getch();\r\n    return 0;\r\n}\r\n\/*\r\n * getSum function divides the input array into two equal half \r\n * and tries to find the sum of elements in both half recursively.\r\n * Finally, it adds the sum of left and right sub Array and return.\r\n * @Algorithm Divide and Conquer\r\n *\/\r\nint getSum(int *inputArray, int leftIndex, int rightIndex){\r\n    int mid;\r\n    if(NULL == inputArray || leftIndex &gt; rightIndex)\r\n        return 0;\r\n    if(leftIndex == rightIndex)\r\n        return inputArray[leftIndex];\r\n    mid = (leftIndex + rightIndex) \/ 2;\r\n    return getSum(inputArray, leftIndex, mid) +\r\n               getSum(inputArray, mid+1, rightIndex);\r\n}<\/pre>\n<p><strong>Program Output<\/strong><\/p>\n<pre>Enter number of elements in Array: 8\r\nEnter 8 numbers \r\n1 3 5 7 9 2 4 6\r\nSum of all numbers are : 37<\/pre>\n","protected":false},"excerpt":{"rendered":"<p>Write a C program to find the sum of elements of array using recursion. We will first take N numbers as input from user using scanf function and store it in an integer array. Now, we have to\u00a0find sum of all elements of array from index 0 to N-1 using recursion. For Example Input Array &#8230; <a title=\"C Program to Find Sum of Array Elements using Recursion\" class=\"read-more\" href=\"https:\/\/btechgeeks.com\/c-program-to-find-sum-of-array-elements-using-recursion\/\" aria-label=\"More on C Program to Find Sum of Array Elements using Recursion\">Read more<\/a><\/p>\n","protected":false},"author":1,"featured_media":14087,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"spay_email":""},"categories":[26],"tags":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v17.2 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>C Program to Find Sum of Array Elements using Recursion - BTech Geeks<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/btechgeeks.com\/c-program-to-find-sum-of-array-elements-using-recursion\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"C Program to Find Sum of Array Elements using Recursion - BTech Geeks\" \/>\n<meta property=\"og:description\" content=\"Write a C program to find the sum of elements of array using recursion. 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