{"id":253,"date":"2012-12-20T12:51:30","date_gmt":"2012-12-20T11:51:30","guid":{"rendered":"http:\/\/wordpress.callac.online\/index.php\/premier-multiple-au-dessus-dun-seuil-avec-python\/"},"modified":"2022-01-05T22:41:54","modified_gmt":"2022-01-05T21:41:54","slug":"premier-multiple-au-dessus-dun-seuil-avec-python","status":"publish","type":"page","link":"https:\/\/wordpress.callac.online\/index.php\/python\/des-exemples-en-python\/premier-multiple-au-dessus-dun-seuil-avec-python\/","title":{"rendered":"Premier multiple au dessus d&rsquo;un seuil avec Python"},"content":{"rendered":"<h2>Le probl\u00e8me<\/h2>\n<p>A l&rsquo;aide d&rsquo;un algorithme, trouver le premier multiple d&rsquo;un entier (disons 37), sup\u00e9rieur \u00e0 un seuil donn\u00e9 (disons 1 million).<\/p>\n<p>En fonction des outils disponibles, diff\u00e9rentes solutions sont possibles.<\/p>\n<h2>En utilisant des additions<\/h2>\n<p>C&rsquo;est la solution propos\u00e9e par mes \u00e9l\u00e8ves qui ont vite voulu calculer les diff\u00e9rents multiples de 37.<\/p>\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"python\">\"\"\"\nOn cherche a trouver le premier multiple d'un entier n\nsuperieur a un seuil donne.\n\"\"\"\n\nn=37\nseuil=1000000\n\nmultiple=0\nwhile (multiple&lt;= seuil):\n    multiple=multiple+n\n\nprint multiple<\/pre>\n<h2>En utilisant des produits<\/h2>\n<p>Tr\u00e8s vite, des \u00e9l\u00e8ves ont voulu une solution avec des multiplications et ont propos\u00e9 cet algorithme <strong>qui ne fonctionne pas<\/strong> :<\/p>\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"python\">\"\"\"\nOn cherche a trouver le premier multiple d'un entier n\nsuperieur a un seuil donne.\n\"\"\"\n\nn=37\nseuil=1000000\n\nk=1\nmultiple=n\nwhile (multiple&lt;= seuil):\n    k=k+1\n    multiple=multiple*k\n\nprint multiple<\/pre>\n<p>Voici la correction :<\/p>\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"python\">\"\"\"\nOn cherche a trouver le premier multiple d'un entier n\nsuperieur a un seuil donne.\n\"\"\"\n\nn=37\nseuil=1000000\n\nk=0\nmultiple=0\nwhile (multiple&lt;= seuil):\n    k=k+1\n    multiple=k*n\n\nprint multiple<\/pre>\n<h2>En utilisant la division euclidienne<\/h2>\n<p>On peut imaginer des solutions avec des boucles mais c&rsquo;est inutile :<\/p>\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"python\">\"\"\"\nOn cherche a trouver le premier multiple d'un entier n\nsuperieur a un seuil donne.\n\"\"\"\n\nn=37\nseuil=1000000\n\n\nk=seuil\/n+1\nmultiple=k*n\n\n\nprint multiple<\/pre>\n<h2>En utilisant le reste de la division euclidienne<\/h2>\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"python\">\"\"\"\nOn cherche a trouver le premier multiple d'un entier n\nsuperieur a un seuil donne.\n\"\"\"\n\nn=37\nseuil=1000000\n\n\nk=seuil\/n+1\nmultiple=seuil+n-seuil%n\n\n\nprint multiple<\/pre>\n","protected":false},"excerpt":{"rendered":"<p>Le probl\u00e8me A l&rsquo;aide d&rsquo;un algorithme, trouver le premier multiple d&rsquo;un entier (disons 37), sup\u00e9rieur \u00e0 un seuil donn\u00e9 (disons 1 million). En fonction des outils disponibles, diff\u00e9rentes solutions sont&hellip;<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":1651,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-253","page","type-page","status-publish","hentry"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.1.1 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Premier multiple au dessus d&#039;un seuil avec Python - Maths &amp; Num\u00e9rique<\/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:\/\/wordpress.callac.online\/index.php\/python\/des-exemples-en-python\/premier-multiple-au-dessus-dun-seuil-avec-python\/\" \/>\n<meta property=\"og:locale\" content=\"fr_FR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Premier multiple au dessus d&#039;un seuil avec Python - Maths &amp; Num\u00e9rique\" \/>\n<meta property=\"og:description\" content=\"Le probl\u00e8me A l&rsquo;aide d&rsquo;un algorithme, trouver le premier multiple d&rsquo;un entier (disons 37), sup\u00e9rieur \u00e0 un seuil donn\u00e9 (disons 1 million). En fonction des outils disponibles, diff\u00e9rentes solutions sont&hellip;\" \/>\n<meta property=\"og:url\" content=\"https:\/\/wordpress.callac.online\/index.php\/python\/des-exemples-en-python\/premier-multiple-au-dessus-dun-seuil-avec-python\/\" \/>\n<meta property=\"og:site_name\" content=\"Maths &amp; Num\u00e9rique\" \/>\n<meta property=\"article:modified_time\" content=\"2022-01-05T21:41:54+00:00\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Dur\u00e9e de lecture estim\u00e9e\" \/>\n\t<meta name=\"twitter:data1\" content=\"1 minute\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/wordpress.callac.online\/index.php\/python\/des-exemples-en-python\/premier-multiple-au-dessus-dun-seuil-avec-python\/\",\"url\":\"https:\/\/wordpress.callac.online\/index.php\/python\/des-exemples-en-python\/premier-multiple-au-dessus-dun-seuil-avec-python\/\",\"name\":\"Premier multiple au dessus d'un seuil avec Python - Maths &amp; Num\u00e9rique\",\"isPartOf\":{\"@id\":\"https:\/\/wordpress.callac.online\/#website\"},\"datePublished\":\"2012-12-20T11:51:30+00:00\",\"dateModified\":\"2022-01-05T21:41:54+00:00\",\"breadcrumb\":{\"@id\":\"https:\/\/wordpress.callac.online\/index.php\/python\/des-exemples-en-python\/premier-multiple-au-dessus-dun-seuil-avec-python\/#breadcrumb\"},\"inLanguage\":\"fr-FR\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/wordpress.callac.online\/index.php\/python\/des-exemples-en-python\/premier-multiple-au-dessus-dun-seuil-avec-python\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/wordpress.callac.online\/index.php\/python\/des-exemples-en-python\/premier-multiple-au-dessus-dun-seuil-avec-python\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Accueil\",\"item\":\"https:\/\/wordpress.callac.online\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Python\",\"item\":\"https:\/\/wordpress.callac.online\/index.php\/python\/\"},{\"@type\":\"ListItem\",\"position\":3,\"name\":\"Des exemples en Python\",\"item\":\"https:\/\/wordpress.callac.online\/index.php\/python\/des-exemples-en-python\/\"},{\"@type\":\"ListItem\",\"position\":4,\"name\":\"Premier multiple au dessus d&#8217;un seuil avec Python\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/wordpress.callac.online\/#website\",\"url\":\"https:\/\/wordpress.callac.online\/\",\"name\":\"Maths & Num\u00e9rique\",\"description\":\"Des outils pour les enseignants de math\u00e9matiques et de num\u00e9rique\",\"publisher\":{\"@id\":\"https:\/\/wordpress.callac.online\/#\/schema\/person\/04061f1ca2c2c42039142a704be95940\"},\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/wordpress.callac.online\/?s={search_term_string}\"},\"query-input\":{\"@type\":\"PropertyValueSpecification\",\"valueRequired\":true,\"valueName\":\"search_term_string\"}}],\"inLanguage\":\"fr-FR\"},{\"@type\":[\"Person\",\"Organization\"],\"@id\":\"https:\/\/wordpress.callac.online\/#\/schema\/person\/04061f1ca2c2c42039142a704be95940\",\"name\":\"dlefur\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"fr-FR\",\"@id\":\"https:\/\/wordpress.callac.online\/#\/schema\/person\/image\/\",\"url\":\"https:\/\/secure.gravatar.com\/avatar\/4a9e17be136808c6597f28aa2b6c13126dab066fdc2198ff60090972c9b7fafc?s=96&d=mm&r=g\",\"contentUrl\":\"https:\/\/secure.gravatar.com\/avatar\/4a9e17be136808c6597f28aa2b6c13126dab066fdc2198ff60090972c9b7fafc?s=96&d=mm&r=g\",\"caption\":\"dlefur\"},\"logo\":{\"@id\":\"https:\/\/wordpress.callac.online\/#\/schema\/person\/image\/\"},\"description\":\"Enseignant de math\u00e9matiques Lyc\u00e9e Pasteur S\u00e3o Paulo\",\"sameAs\":[\"http:\/\/wordpress.callac.online\"]}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"Premier multiple au dessus d'un seuil avec Python - Maths &amp; Num\u00e9rique","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/wordpress.callac.online\/index.php\/python\/des-exemples-en-python\/premier-multiple-au-dessus-dun-seuil-avec-python\/","og_locale":"fr_FR","og_type":"article","og_title":"Premier multiple au dessus d'un seuil avec Python - Maths &amp; Num\u00e9rique","og_description":"Le probl\u00e8me A l&rsquo;aide d&rsquo;un algorithme, trouver le premier multiple d&rsquo;un entier (disons 37), sup\u00e9rieur \u00e0 un seuil donn\u00e9 (disons 1 million). 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